{"id":154,"date":"2020-04-18T11:31:02","date_gmt":"2020-04-18T15:31:02","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&#038;p=154"},"modified":"2024-10-29T15:09:58","modified_gmt":"2024-10-29T19:09:58","slug":"chapter-review-questions","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/chapter-review-questions\/","title":{"raw":"Chapter 1 Review Questions","rendered":"Chapter 1 Review Questions"},"content":{"raw":"<em>Click on the question number to get to the solution.<\/em>\r\n\r\n<em>Unless otherwise stated, round the <strong>final <\/strong>answer to 2 decimal places.\u00a0\u00a0<\/em>\r\n\r\n[footnote]\r\n<table style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><strong>October<\/strong><\/td>\r\n<td><strong>November<\/strong><\/td>\r\n<td><strong>December<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>a. $2,000<\/td>\r\n<td>$9,000<\/td>\r\n<td>$25,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b. 5.00%<\/td>\r\n<td>15.25%<\/td>\r\n<td>22.94%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote] A jewelry store's sales and expenses are given below for the months of October, November and December:\r\n<div align=\"center\">\r\n<table style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><em>\u00a0<\/em><\/td>\r\n<td><strong><em>October<\/em><\/strong><\/td>\r\n<td><strong><em>November<\/em><\/strong><\/td>\r\n<td><strong><em>December <\/em><\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Sales<\/td>\r\n<td>$40,000<\/td>\r\n<td>$59,000<\/td>\r\n<td>$109,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Expenses (all)<\/td>\r\n<td>$38,000<\/td>\r\n<td>$50,000<\/td>\r\n<td>$84,000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<ol type=\"a\">\r\n \t<li>Find the profits for each<\/li>\r\n \t<li>Find the percent net margin for each<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>Burnaby<\/strong><\/td>\r\n<td><strong>Downtown<\/strong><\/td>\r\n<td><strong>Richmond<\/strong><\/td>\r\n<td><strong>Surrey<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$2,425.15<\/td>\r\n<td>$1,781.44<\/td>\r\n<td>$2,574.85<\/td>\r\n<td>$3,218.56<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote] FST Computer Stores has decided to give a total bonus of $10,000 to its outlets. The bonus will be proportional to the monthly sales (given below) for each outlet. Find the bonus for each outlet.\r\n<div align=\"center\">\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><strong>Outlet<\/strong><\/td>\r\n<td><strong>Burnaby<\/strong><\/td>\r\n<td><strong>Downtown<\/strong><\/td>\r\n<td><strong>Richmond<\/strong><\/td>\r\n<td><strong>Surrey<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Sales<\/td>\r\n<td>$162,000<\/td>\r\n<td>$119,000<\/td>\r\n<td>$172,000<\/td>\r\n<td>$215,000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n\r\n[footnote]\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><strong>\u00a0<\/strong><\/td>\r\n<td style=\"height: 18px;width: 271px\"><strong>\u00a0<\/strong><\/td>\r\n<td style=\"height: 18px;width: 147.867px\"><strong>East<\/strong><\/td>\r\n<td style=\"height: 18px;width: 149.533px\"><strong>West<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\">a.<\/td>\r\n<td style=\"height: 18px;width: 271px\">Gross Profit<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">$8,000<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">$9,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><\/td>\r\n<td style=\"height: 18px;width: 271px\">Net Profit<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">$5,000<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">$5,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\">b.<\/td>\r\n<td style=\"height: 18px;width: 271px\">Gross Margin<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">40%<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">36%<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><\/td>\r\n<td style=\"height: 18px;width: 271px\">Net Margin<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">25%<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">20%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote] A-Plus Appliances two branches reported the following results for a one week period:\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td>&nbsp;\r\n\r\nSales<\/td>\r\n<td><strong>East<\/strong>\r\n\r\n$20,000<\/td>\r\n<td><strong>West<\/strong>\r\n\r\n$25,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>COGS<\/td>\r\n<td>12,000<\/td>\r\n<td>16,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Other Expenses<\/td>\r\n<td>3,000<\/td>\r\n<td>4,000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol type=\"a\">\r\n \t<li>Find the gross and net profits for each branch.<\/li>\r\n \t<li>Find the percent gross margin and percent net margin for each<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<table style=\"border-collapse: collapse;width: 100%;height: 107px\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Sales<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">$730,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">COGS<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\"><span style=\"text-decoration: underline\">452,600<\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Gross Profit<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">277,400<\/td>\r\n<\/tr>\r\n<tr style=\"height: 35px\">\r\n<td style=\"width: 14.4444%;height: 35px\">Operating Expenses<\/td>\r\n<td style=\"width: 1.5873%;height: 35px\"><span style=\"text-decoration: underline\">197,100<\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Net Profit<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">80,300<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote] Joan's Co. knows that, nationwide, companies in its industry earn, on average, a percent gross margin of 38% and a percent net margin of 11%.\u00a0 Joan's Co. forecasts sales of $730,000 next year. If it aims at the same profit ratio as the nationwide average, estimate Joan's cost of goods, gross profit and net profit.\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$12,000,<\/li>\r\n \t<li>40%<\/li>\r\n \t<li>28.57%<\/li>\r\n<\/ol>\r\n[\/footnote] Jim's Co. sees that its competitor sells an article for $42.00. It knows that the competitor pays $30.00 for the article.\r\n<ol type=\"a\">\r\n \t<li>What is the competitor's markup (dollar amount)?<\/li>\r\n \t<li>What is the competitor's percent markup?<\/li>\r\n \t<li>What is the competitor's percent gross margin?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>3158 CAD = 1.00 USD<\/li>\r\n \t<li>0.203947 CAD = 1 Krone<\/li>\r\n \t<li>10,000 Krones =2,039.47 CAD<\/li>\r\n \t<li>500 CAD = 2,451.61 Krones<\/li>\r\n<\/ol>\r\n[\/footnote] At one time the exchange rate for the Canadian dollar was: 1 CAD = 0.76 USD\r\n\r\nFor the Danish krone the rate was: 1 krone= 0.155 (USD)\r\n<ol type=\"a\">\r\n \t<li>Find the value of $1 USD in terms of Canadian dollars (4 decimal places).<\/li>\r\n \t<li>Find the value of one Danish krone in terms of Canadian dollars (6 decimal places).<\/li>\r\n \t<li>How much would it cost (in Canadian dollars) to purchase 10,000 krones (2 decimal places)?<\/li>\r\n \t<li>How many krones can be purchased for $500 Canadian (2 decimal places)?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>August 16, 2018<\/li>\r\n \t<li>$5,665.00<\/li>\r\n \t<li>June 27, 2018<\/li>\r\n \t<li>$163.71<\/li>\r\n \t<li>$5501.29<\/li>\r\n<\/ol>\r\n[\/footnote] JB Appliances received an invoice which contained the following information:\r\n<ul>\r\n \t<li>Date, June 17, 2018 Items:<\/li>\r\n \t<li>10 Refrigerators; list $710 each, less 25%, 20%<\/li>\r\n \t<li>5 Dryers; list $420 each, less 25%, 20%, 5% (special sale)<\/li>\r\n \t<li>Freight charge $208<\/li>\r\n \t<li>Payment terms 3\/10 net 60<\/li>\r\n<\/ul>\r\nFind:\r\n<ol type=\"a\">\r\n \t<li style=\"list-style-type: none\">\r\n<ol type=\"a\">\r\n \t<li>The last day for<\/li>\r\n \t<li>The amount due if the invoice was paid on the last day.<\/li>\r\n \t<li>The last day at which the cash discount<\/li>\r\n \t<li>The amount of discount allowed on the day in (c).<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<ol type=\"a\">\r\n \t<li>The amount to pay off the invoice on the day in (c)<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>43%<\/li>\r\n \t<li>44%<\/li>\r\n<\/ol>\r\n[\/footnote] Mac's Wholesale buys from a distributor which allows discounts of 25%, 20% and 5%.\r\n<ol type=\"a\">\r\n \t<li>What single discount (called the <em>single equivalent discount) <\/em>would be equivalent to the above discounts?<\/li>\r\n \t<li>Compare the above discounts to discounts of 30%, 20%.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n\r\n66.67%\r\n\r\n[\/footnote] A branch of Jack's Hardware has been told by its head office to sell goods at a percent gross margin of 40%. What percent markup should the branch use?\r\n\r\n&nbsp;\r\n\r\n[footnote]13.7255%\r\n\r\n[\/footnote]\u00a0 CHMCO sells a product with discounts of 25%, 15% to its distributors. It plans to allow a seasonal discount to make the overall discount equal to 45%. What additional (chained) discount should CHMCO allow?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>November 16<\/li>\r\n \t<li>$3,230.00<\/li>\r\n \t<li>October 27<\/li>\r\n \t<li>$3,138.20<\/li>\r\n \t<li>$1,546.39<\/li>\r\n<\/ol>\r\n[\/footnote] Wilson Co. has received an invoice dated October 17 for 5 items with list price $900 each, and for freight of $170. The terms were:\r\n<ul>\r\n \t<li>Trade terms: list less 20%,15%.<\/li>\r\n \t<li>Payment terms: 3\/10, n\/30.<\/li>\r\n<\/ul>\r\nFind:\r\n<ol type=\"a\">\r\n \t<li>The last day for payment<\/li>\r\n \t<li>The amount due if payment is made on the last day<\/li>\r\n \t<li>The last day for taking a cash discount<\/li>\r\n \t<li>The amount needed to pay the invoice on the day in (c).<\/li>\r\n \t<li>If the seller agrees to give a cash discount on a partial payment, how much credit would be applied to the account if $1,500 were paid immediately?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>Alpha \u03b1<\/td>\r\n<td>Beta \u03b2<\/td>\r\n<td>Gamma \u03b3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>a.<\/td>\r\n<td>20.00%<\/td>\r\n<td>34.2857142%<\/td>\r\n<td>45.7142857%<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b.<\/td>\r\n<td>$1,000,000<\/td>\r\n<td>$1,714,285.71<\/td>\r\n<td>$2,285,714.29<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>c.<\/td>\r\n<td>$1,163,265.31<\/td>\r\n<td>$1,551,020.41<\/td>\r\n<td>$2,285,714.29<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote] Three companies, Alpha, Beta and Gamma, are the only suppliers to a specialized market. Last year Alpha's sales were $700,000, Beta's $1,200,000 and Gamma's $1,600,000.\r\n<ol type=\"a\">\r\n \t<li>What was the market share (percent of market) of each company?\u00a0 <strong><em>Note: <\/em><\/strong>retain all decimal places calculated in (a) to solve (b) and (c).<\/li>\r\n \t<li>If next year's total market is expected to be $5,000,000 and each company's share remains the same, what would be the sales of each company?<\/li>\r\n \t<li>Alpha has an aim of making its sales 75% of Beta's. With total sales as in (b) and Gamma's as in (b) what would have to be the sales of Alpha and Beta if Alpha were to make its aim?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>Gross Profit= $18,000, Net Profit= $13,000<\/li>\r\n \t<li>25%<\/li>\r\n \t<li>14,44%<\/li>\r\n<\/ol>\r\n[\/footnote] Janet's Co. has sales of $90,000, COGS of 80% of sales and operating expenses of $5,000.\r\n<ol type=\"a\">\r\n \t<li>Find the gross and net profits.<\/li>\r\n \t<li>Find the rate of markup (based on cost).<\/li>\r\n \t<li>\u00a0Find the percent net margin.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n\r\nA: $1,300\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 B: $1,560\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 C: $3,250\r\n\r\n[\/footnote] Jim's Co. has set a requirement on stock items of a turnover ratio of 2.6 per year. It is examining three stocked items, A, B and C, which have to be bought in large amounts. As a result of the purchasing requirements, the maximum stock for A is $1,000, for B $1,200 and for C $2,500.\u00a0\u00a0 If the average stock is assumed to be one-half the maximum stock, what would be the required annual sales of each of these items?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n\r\nBranch I = $180,000; Branch II = $400,000; Branch ID= $300,000\r\n\r\n[\/footnote] Majjor Oil Co. allocates its maintenance budget to three of its branch offices on the basis (i.e., proportional to) of total floor space. Branch I has 9,000 sq. ft., Branch Il has 20,000 sq. ft. and Branch III has 15,000 sq. ft. If $880,000 is to be allocated, how much should each branch receive?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n\r\n$3.98 CAD\/liter\r\n\r\n[\/footnote] A paint is advertised for sale with a price of $11.00 USD per gallon. Find the price in CAD\/liter if 1 CAD = 0.73 USD\r\n\r\nGiven:\r\n<ul>\r\n \t<li>1 liter = 1.0567 quarts<\/li>\r\n \t<li>1 gallon = 4 quarts<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote] $0.79 CAD\/liter\r\n\r\n[\/footnote] The wellhead price of a certain grade of oil is $69.00 USD per barrel. What is the price in CAD per liter?\r\n<ul>\r\n \t<li>1 CAD = 0.73 USD<\/li>\r\n \t<li>1 Barrel = 31.5 US Gallons<\/li>\r\n \t<li>1 liter = 1.0567 quarts<\/li>\r\n \t<li>1 US Gallon = 4 quarts<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]$588\r\n\r\n[\/footnote]\u00a0 An invoice arrives from the Home Shopping Network. The invoice is dated May 28th, and the invoice amount is $600. Calculate the net payment of the invoice if the te1ms are 2\/10, n\/30 and the invoice is paid on June 6.\r\n\r\n&nbsp;\r\n\r\n[footnote] $722.65 [\/footnote] An invoice dated Aug. 12th for $745 containing the terms \"3\/15, n\/60\" was paid on Aug. 25th \u00a0How much should the cheque be to pay this invoice?\r\n\r\n&nbsp;\r\n\r\n[footnote]$1,176.00[\/footnote] An invoice dated May 4th for $1,200 has terms 3\/10, 2\/30, n\/60. How much should be paid on May 31st to fully pay off the invoice?\r\n\r\n&nbsp;\r\n\r\n[footnote]$1,438.46[\/footnote] An invoice dated May 1st for $4,000 has terms 3\/10, 2\/20, n\/45. It was partially paid by a $1,000 payment on May 10th and a second payment of $1,500 on May 20th. What is the outstanding balance after the May 20th payment?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>June 15th<\/li>\r\n \t<li>N = $3,456.12<\/li>\r\n \t<li>$3,526.65 - $2,551.02 = $975.63<\/li>\r\n<\/ol>\r\n[\/footnote] A dealer purchased 10 DVD players at $300 each less discounts of 25% and 5%, and 5 TV's at $450 each less 30%, 10% and 2%. The invoice for these items was dated June 5th and had terms 2\/10, n\/30.\r\n<ol type=\"a\">\r\n \t<li>If the dealer wishes to take advantage of the cash discount, what would be the last day for payment?<\/li>\r\n \t<li>What amount must be paid on the day found in part a) to fully pay it off?<\/li>\r\n \t<li>If the dealer only sent in $2,500 on June 15th what would be the outstanding balance?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]$5,758.76\r\n\r\n[\/footnote] An invoice for $12,000 has payment terms 3\/10, 2\/20, n\/45. Discounts are allowed for partial payments. The company made of payment of $4,000 9 days after the date of invoice, and a second payment 18 days after the date of the invoice that reduced the balance owing to $2,000. What is size of the second payment?\r\n\r\n&nbsp;\r\n\r\n[footnote]$1,275.51 is credited and a total of $2,474.49 is paid\r\n\r\n[\/footnote]\u00a0 An invoice for $2,500 has terms 2\/10, n\/30. The invoice is dated April 27th and half of the invoice amount is paid on May 1st and the rest is paid on May 20th. If the seller grants discounts for partial payments, by how much is the balance reduced by the 1st payment? What is the total amount paid?\r\n\r\n&nbsp;\r\n\r\n[footnote]$408.16 + $404.04 = $812.20 is the credit and $387.80 is still owing.\r\n\r\n[\/footnote] A seller grants discounts for partial payments. An invoice for $1,200, dated May 1st, has terms 2\/10, 1\/15, n\/60 and $400 is paid on May 5th, $400 on May 14th and the rest is paid on June 5th\u2022 How much is the balance reduced by the two early payments? How much is paid on June 5th?\r\n\r\n&nbsp;\r\n\r\n[footnote]$2,303.07 [\/footnote] Chan Enterprises sent CK Air an invoice dated Sept. 14th for $5,400 with terms 3\/10, 1.5\/20, n\/45. CK Air made a payment of $2,000 on Sept 24th and a second payment on Oct 3 that reduced the balance owing to $1,000. What was the size of the second payment?\r\n\r\n&nbsp;\r\n\r\n[footnote]$4,306.50 [\/footnote] You receive an invoice from AG Electronics dated Feb. 10th for:\r\n<ul>\r\n \t<li>20 TV sets at $500 per set less 20% and 15%.<\/li>\r\n \t<li>30 DVD players at $200 each less 25% and 10%.<\/li>\r\n<\/ul>\r\nAG Electronics has payment terms 2\/10, 1\/20, n\/45. Cash discounts are allowed for partial payments. They make of payment of $4,900 on Feb 18th and a second payment on Feb 26th that reduced the balance owing to $1,500. What is the size of the second payment?\r\n\r\n[footnote]Debt: $1,500,000 C\/S: $1,200,000 P\/S: $600,000\r\n\r\n[\/footnote].\u00a0\u00a0\u00a0 The Harrison Lake Corporation likes to maintain a capital structure of 5:4:2 (dollar value of debt to common shares to preferred shares). The company is considering a new project and will need to raise $3,300,000. If the company wishes to maintain its existing capital structure, how much debt, common stock and preferred stock should they issue?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$450,000; L: $562,500;\u00a0 S: $487,500<\/li>\r\n \t<li>N: 15,000 students L: 26,786 students S:23,214 students<\/li>\r\n<\/ol>\r\n[\/footnote] The Ministry of Education allocates its budget in proportion to student enrollments. The Ministry has $1,500,000 to allocate and the student enrollments are as follows:\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td>High Knowledge Institute, The<\/td>\r\n<td>12,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Institute of Technology<\/td>\r\n<td>15,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>School of Hard Knox<\/td>\r\n<td>13,000<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol type=\"a\">\r\n \t<li>Allocate the budget in proportion to<\/li>\r\n \t<li>The following year total enrollment is expected to reach 65,000. High Knowledge Institute is expected to have 3,000 more students and the ratio of students at The Institute of Technology to Students at Hard Knocks will remain the same at 15:13. Give the new estimate for enrollment at each<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]Alan: $150,000; Barbara: $132,500 Chuck: $97,500\r\n\r\n[\/footnote] An engineering firm is owned by three partners (Alan, Barbara, and Chuck) with 4,000, 3,000 and 1,000 shares respectively. The company's net income for the year is $4,500,000 and 10% of that income has been set aside as a performance bonus. The bonus will be allocated in the following way:\r\n<ul>\r\n \t<li>$70,000 to be distributed amongst all staff excluding the partners.<\/li>\r\n \t<li>Each partner will get $80,000.<\/li>\r\n \t<li>The remainder is to be divided among the partners in proportion to the number of shares held.<\/li>\r\n<\/ul>\r\nWhat was the total amount of bonus received by each partner?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n\r\nSales: $150,000; Fin: $75,000; Admin: $37,500 (same for R &amp; D)\r\n\r\n[\/footnote] The $300,000 yearly rent of a four-story building is to be expensed to the four departments using it according to the number of floors occupied. Sales occupies two floors, Finance one floor, Administration and Research and Development (R &amp; D) share one floor equally. How much of the rent expense is allocated to each department?\r\n\r\n&nbsp;\r\n\r\n[footnote]Alicia: $5,125; Bob: $3,250; Charles: 0; Diana: $1,625\r\n\r\n[\/footnote]\u00a0 Last year, Reliable Securities established a sales achievement bonus fund of $10,000 to be distributed at the year's end among its four-person mutual fund sales force. The distribution is to be made in the same proportion as the amounts by which each person's sales exceed the basic quota of $500,000. How much bonus will each salesperson receive from the fund if the sales figures for the year were $910,000 for Alicia; $760,000 for Bob; $460,000 for Charles; $630,000 for Diana?\r\n\r\n&nbsp;\r\n\r\n[footnote]$375,000\r\n\r\n[\/footnote] For the past seven years the sales of Departments A, B, and C have maintained a relatively stable ratio of 4:3:2. Department A is predicting that their sales will be $500,000 next year. Based on their past sales ratio, what sales would be predicted for Department B?\r\n\r\n&nbsp;\r\n\r\n[footnote]N = $1,065.90 D = 51.6%\r\n\r\n[\/footnote]\u00a0 If the chain discount on an item listed at $2,200 is 40%, 15%, 5%, what is the net price? What single rate of discount is equivalent to this series of discounts?\r\n\r\n&nbsp;\r\n\r\n[footnote]60%\r\n\r\n[\/footnote] The Ray department store is selling all summer clothes at 50% off the regular retail price during the month of September. On Saturdays only, they are offering an additional 20% off the already discounted price. What is the single equivalent discount rate on Saturdays?\r\n\r\n&nbsp;\r\n\r\n[footnote]5%\r\n\r\n[\/footnote] A publisher sells its romance novels with chained discounts of 20% and 10%. The publisher would like to add a third discount to bring the overall discounts to 31.6%. Find the third discount rate.\r\n\r\n&nbsp;\r\n\r\n[footnote]L = $650.00; D = 34.525%\r\n\r\n[\/footnote]\u00a0 If the net price of a typewriter was $425.59 after chain discounts of 25%, 10% and 3%, what was the list price? What is the equivalent single discount rate?\r\n\r\n&nbsp;\r\n\r\n[footnote]$152.16, 43.5%\r\n\r\n[\/footnote]\u00a0 A patio set is listed at $350. What is the size of the discount (in dollars) if the buyer is eligible for discounts of 30%, 15% and 5%? Convert the chain discount into a single equivalent discount rate.\r\n\r\n&nbsp;\r\n\r\n[footnote]Mfg A: Total discount= 47.864%; Mfg B: Total discount= 52.15% (B is larger)\r\n\r\n[\/footnote] Which offers the larger discount? Manufacturer A offering chain discounts of 30%, 20%, 5%, 2% or Manufacturer B giving 45%, 13%?\r\n\r\n&nbsp;\r\n\r\n[footnote]more than 4.76%\r\n\r\n[\/footnote] Island Remanufactured Wood Products Inc. sells its products at trade discounts of 30%, 10%. A competitor has been offering products at the same list prices but with trade discounts of 25%, 20%. Island Reman wishes to beat the competitor's prices by offering a third trade discount. At least how big must the additional discount rate be to meet this objective?\r\n\r\n&nbsp;\r\n\r\n[footnote]4.8%\r\n\r\n[\/footnote] Toys-R-Costly sells Barbie Computers for $840 less 20% and 15%. A competitor sells a similar computer for $800 less 25%. What further discount (second discount) must the competitor allow so that its net price is the same as Toys-R-Costly's?\r\n\r\n&nbsp;\r\n\r\n[footnote]33.33%\r\n\r\n[\/footnote] In order to stimulate sales of file cabinets, a manufacturer had to offer a temporary additional discount to its present rate of 25%. The list price is $300. What additional temporary discount would have to be given in order to achieve a net price of $150?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>N = $382.50<\/li>\r\n \t<li>23.5%<\/li>\r\n \t<li>4.575%<\/li>\r\n<\/ol>\r\n[\/footnote] Wadi Air Conditioners Ltd. sells one model at a list price of $500. Retailers are offered discounts of 15% and 10%.\r\n<ol type=\"a\">\r\n \t<li>Find the net price of an air conditioner.<\/li>\r\n \t<li>Find the single equivalent discount rate<\/li>\r\n \t<li>Wadi would like to add a third chained discount to bring the total discount to 27%. Calculate the rate of the third discount.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$306<\/li>\r\n \t<li>23.5%<\/li>\r\n \t<li>$d_3 = 8.50%$<\/li>\r\n \t<li>$350<\/li>\r\n<\/ol>\r\n[\/footnote] A company manufactures Bluetooth Speakers. The Speakers retails for $400 and are offered to the wholesaler with chained discounts of 10% and 15%.\r\n<ol type=\"a\">\r\n \t<li>Find the net price after discount.<\/li>\r\n \t<li>What is the single equivalent discount rate?<\/li>\r\n \t<li>The manufacturer would like to add a third discount to bring the total discount to 30%. Calculate the rate of the third discount.<\/li>\r\n \t<li>A competitor offers a single discount of 25%. This amounts to a discount of $87.50 off the list price. What is the list price?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]$70\/bag\r\n\r\n[\/footnote]\u00a0 After graduation you decide to start up a business selling spices imported from Colombia. The main product you import, saffron, sells for 95,149.87 Pesos for a 4-ounce jar. In Canada, you sell the product in 125 gram bags. Find the selling price in Canadian dollars per 125 gram bag. Use the following:\r\n<ul>\r\n \t<li>1 pound = 454 grams<\/li>\r\n \t<li>1 USD = 1.5644 CAD<\/li>\r\n \t<li>125 grams = 1 bag<\/li>\r\n \t<li>16 ounces = 1 pound<\/li>\r\n \t<li>0.000427 USD = 1 COP (Columbian Peso)<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]\u00a3549.40\r\n\r\n[\/footnote] You are taking a holiday in Britain. You are taking $750 USD with you. How many British pounds can you buy with this money?\r\n\r\n<strong>Rates:<\/strong>\r\n<ul>\r\n \t<li>$1 USD= $1.5644 CAD<\/li>\r\n \t<li>1 British pound (\u00a3) = $2.1356 CAD<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]0.856959 USD\/quart, so $0.86 USD\/quart\r\n\r\n[\/footnote] You are thinking of expanding your bottled\u00a0 water\u00a0 company to the US. Your company bottles pure Fraser River water collected near the Oak Street Bridge. Your water currently sells for $0.85 per 600 ml bottle.\u00a0 The water shipped\u00a0 to the US would be sold in quart bottles. What price, in US dollars, should you charge for a quart of your water? (Convert the Canadian price per 600 ml to a US price per quart).\r\n\r\n<strong>Rates:<\/strong>\r\n<ul>\r\n \t<li>$1 USD= $1.5644 CAD<\/li>\r\n \t<li>1 Gallon = 3.7853 Litres<\/li>\r\n \t<li>4 Quarts = 1 Gallon<\/li>\r\n \t<li>1,000 ml = 1 Litre<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote] 1.11 CAD\/can\r\n\r\n[\/footnote] You missed the Back Yard Boys concert at GM Place, and have decided to drive to Seattle to see them. After driving through customs, you stop at the Thrifty market in Blaine. You see a quart size bottle of Duff Cola selling for $1.89 USD. You would like to compare this price to the price of a Canadian can of Cola. Convert the price to Canadian dollars per can.\r\n\r\n<strong>Rates:<\/strong>\r\n<ul>\r\n \t<li>$1 USD = $1.5644 CAD<\/li>\r\n \t<li>1.0567 Quarts = 1 Litre<\/li>\r\n \t<li>1 Litre = 1,000 ml<\/li>\r\n \t<li>1 can = 355 ml<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]1.76 USD\/gallon, so cheaper in Canada\r\n\r\n[\/footnote] In California gasoline sells for $1.99 USD per gallon. In British Columbia gasoline is currently selling for $0.729 CAD per liter. Convert the Canadian price per liter to US dollars per gallon. Is the price of gasoline cheaper in California or in BC?\r\n\r\n<strong>Rates:<\/strong>\r\n<ul>\r\n \t<li>$1 USD= $1.5644 CAD<\/li>\r\n \t<li>1 Litre = 1.0567 Quarts<\/li>\r\n \t<li>4 Quarts = 1 Gallon<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]0.30 CAD\/Liter\r\n\r\n[\/footnote] You purchase gasoline for your gas stations from local refineries. A number of labour disruptions and increasing costs have motivated you to consider importing gasoline from the Emirate of Abu Dhabi. Refined gasoline sells for 91.30 Dirhams per barrel. Calculate the equivalent Canadian price in liters given:\r\n\r\n<strong>Rates:<\/strong>\r\n<ul>\r\n \t<li>3 Dirhams =\u00a0 1 USD<\/li>\r\n \t<li>0.638 USD =\u00a0 1 CAD<\/li>\r\n \t<li>1 Barrel = 42 Gallons<\/li>\r\n \t<li>1 Gallon = 4 Quarts<\/li>\r\n \t<li>1 Quart = 0.9464 Liters<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n[footnote]\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<thead>\r\n<tr>\r\n<td><strong>Cost<\/strong><\/td>\r\n<td><strong>Sales Price<\/strong><\/td>\r\n<td><strong>Markup in dollars<\/strong><\/td>\r\n<td><strong>% Markup<\/strong><\/td>\r\n<td><strong>% Margin<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>$125<\/td>\r\n<td>$175<\/td>\r\n<td>$50<\/td>\r\n<td>40%<\/td>\r\n<td>28.57%<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$75<\/td>\r\n<td>$95<\/td>\r\n<td>$20<\/td>\r\n<td>26.67%<\/td>\r\n<td>21.05%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/footnote]\u00a0 Fill in the Following Table:\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<thead>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 47.3px\"><strong>Cost<\/strong><\/td>\r\n<td style=\"height: 18px;width: 104.017px\"><strong>Sales Price<\/strong><\/td>\r\n<td style=\"height: 18px;width: 172.867px\"><strong>Markup in dollars<\/strong><\/td>\r\n<td style=\"height: 18px;width: 107.7px\"><strong>% Markup<\/strong><\/td>\r\n<td style=\"height: 18px;width: 100.733px\"><strong>% Margin<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 47.3px\">$125<\/td>\r\n<td style=\"height: 18px;width: 104.017px\">$175<\/td>\r\n<td style=\"height: 18px;width: 172.867px\"><\/td>\r\n<td style=\"height: 18px;width: 107.7px\"><\/td>\r\n<td style=\"height: 18px;width: 100.733px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 47.3px\">$75<\/td>\r\n<td style=\"height: 18px;width: 104.017px\">$95<\/td>\r\n<td style=\"height: 18px;width: 172.867px\"><\/td>\r\n<td style=\"height: 18px;width: 107.7px\"><\/td>\r\n<td style=\"height: 18px;width: 100.733px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>Cost = $2,992.50<\/li>\r\n \t<li>10.24%<\/li>\r\n \t<li>9.29%<\/li>\r\n<\/ol>\r\n[\/footnote] A computer dealer buys NADIR brand VR headsets for $3,500 less 10%, 5% and sells them for $3,299.\r\n<ol type=\"a\">\r\n \t<li>What is the Cost?<\/li>\r\n \t<li>What is the rate of markup?<\/li>\r\n \t<li>What is the percent margin?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$415.63<\/li>\r\n \t<li>$311.72<\/li>\r\n \t<li>25%<\/li>\r\n<\/ol>\r\n[\/footnote] An outboard motor costs the retailer $500 less chain discounts of 30%, 25% and 5%: The company maintained a margin of 40% on all items. The motor was sold after it had been marked down 25%.\r\n<ol type=\"a\">\r\n \t<li>What was the regular selling price?<\/li>\r\n \t<li>What was the actual selling price (sale price)?<\/li>\r\n \t<li>What rate of markup did they use? (based on part b)<\/li>\r\n<\/ol>\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$19.50<\/li>\r\n \t<li>$18.75<\/li>\r\n \t<li>$3,090 gross profit, $1,965 net profit<\/li>\r\n<\/ol>\r\n[\/footnote] A souvenir stand bought 300 hockey sweaters for $15 each. They sold 170 at the regular selling price of $30 each but had to sell another 70 sweaters at a 35% discount (markdown) near the end of the hockey season and the remaining sweaters were cleared by selling them at a breakeven price which exactly covered the cost of the sweaters plus overhead. Overhead (operating expenses) are roughly 25% of cost.\r\n<ol type=\"a\">\r\n \t<li>What was the selling price per sweater for the 70 sweaters sold near the end of the season?<\/li>\r\n \t<li>What was the selling price per sweater for those sweaters sold at the breakeven price?<\/li>\r\n \t<li>What was the gross profit (loss) and net profit earned from the sale of the 300 sweaters?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]33.33%\r\n\r\n[\/footnote] Wilma Inc. prices its products to provide a 25% margin. What rate of markup do they use?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>C = $250<\/li>\r\n \t<li>S = $300<\/li>\r\n \t<li>% margin = 16.67%<\/li>\r\n<\/ol>\r\n[\/footnote] You know that a TV retailer makes $50 on the sale of a certain model of television set and the retailer has a markup policy of 20% of cost.\r\n<ol type=\"a\">\r\n \t<li>How much did this TV set cost the retailer?<\/li>\r\n \t<li>What is the selling price of the TV set?<\/li>\r\n \t<li>Find the percent margin.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]C = $2,142.86, percent margin= 52.4%\r\n\r\n[\/footnote] A diamond ring sells for $4,500. If the rate of markup is 110%, what did the ring cost the retailer? What is the percent margin?\r\n\r\n&nbsp;\r\n\r\n[footnote]$348.36\r\n\r\n[\/footnote] An item that cost the dealer $350 less 35% and 12.5% carries a price tag at a markup of 150% of cost. For quick sale, the item was reduced 30%. What was the sale price?\r\n\r\n&nbsp;\r\n\r\n[footnote]Markup = $1,239.13\u00a0 NP= $1,049.13\r\n\r\n[\/footnote] The selling price of an automobile is $9,500. If the markup is 15% of cost and the operating expenses are 2% of the selling price, how much is the gross profit (markup in $)? What is the net profit?\r\n\r\n&nbsp;\r\n\r\n[footnote]76.99%\r\n\r\n[\/footnote] ABC Co. prices its products to provide a 43.5% margin. What rate of markup do they use?\r\n\r\n&nbsp;\r\n\r\n[footnote]\r\n<ol type=\"a\">\r\n \t<li>$112.50<\/li>\r\n \t<li>$96.00<\/li>\r\n<\/ol>\r\n[\/footnote] A bookstore has a policy of maintaining a margin of 20%.\r\n<ol type=\"a\">\r\n \t<li>\u00a0If an item costs $90, how much should it sell for?<\/li>\r\n \t<li>If another book sells for $120, how much did it cost?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[footnote]$240.00\r\n\r\n[\/footnote] The regular selling price of merchandise sold in a store includes a margin of 40%. During a sale, an item that costs the store $180 was marked down 20%. For how much was the item sold for?\r\n\r\n&nbsp;\r\n\r\n[footnote]$250\r\n\r\n[\/footnote] An item sells for $500. If the company uses a 100% rate of markup, what is the cost of the item?\r\n\r\n&nbsp;\r\n\r\n[footnote]$50\r\n\r\n[\/footnote] Scoopy-Doo Pet Foods prices its pet food to maintain a 45% margin. A 7-kg bag of Woof-Woof dog food costs $27.50. Calculate the selling price.\r\n\r\n&nbsp;\r\n\r\n[footnote]C = $7.00,\u00a0 % margin=\u00a0 14\/21 = 66.67%\r\n\r\n[\/footnote] CK Winery sells its merlot red wine for $21.00. If the rate of markup is 200%, what did the wine cost the retailer? What is the percent margin?\r\n\r\n&nbsp;\r\n\r\n[footnote]C = $500, S = $600, % margin = 16.67%\r\n\r\n[\/footnote] If you knew that an appliance dealer makes $100 on the sale of a certain model of washing machine and the dealer has a markup policy of 20% of cost, how much did this washer cost the dealer? What is the selling price of the washer? Find the percent margin.\r\n\r\n&nbsp;\r\n\r\n[footnote]$1,360.00\r\n\r\n[\/footnote] Find the cost of an item sold for $1,904 to realize a rate of markup of 40%.\r\n\r\n&nbsp;\r\n\r\n[footnote]$72.07\r\n\r\n[\/footnote]\u00a0 A retailer bought an article for $78 and his rate of markup is 32%. He sold this article in a sale after having marked it down by 30%. What is the sale price?\r\n<h2>Solutions<\/h2>","rendered":"<p><em>Click on the question number to get to the solution.<\/em><\/p>\n<p><em>Unless otherwise stated, round the <strong>final <\/strong>answer to 2 decimal places.\u00a0\u00a0<\/em><\/p>\n<p><a class=\"footnote\" title=\"October\nNovember\nDecember\n\n\na. $2,000\n$9,000\n$25,000\n\n\nb. 5.00%\n15.25%\n22.94%\" id=\"return-footnote-154-1\" href=\"#footnote-154-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a> A jewelry store&#8217;s sales and expenses are given below for the months of October, November and December:<\/p>\n<div style=\"margin: auto;\">\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<td><em>\u00a0<\/em><\/td>\n<td><strong><em>October<\/em><\/strong><\/td>\n<td><strong><em>November<\/em><\/strong><\/td>\n<td><strong><em>December <\/em><\/strong><\/td>\n<\/tr>\n<tr>\n<td>Sales<\/td>\n<td>$40,000<\/td>\n<td>$59,000<\/td>\n<td>$109,000<\/td>\n<\/tr>\n<tr>\n<td>Expenses (all)<\/td>\n<td>$38,000<\/td>\n<td>$50,000<\/td>\n<td>$84,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<ol type=\"a\">\n<li>Find the profits for each<\/li>\n<li>Find the percent net margin for each<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Burnaby\nDowntown\nRichmond\nSurrey\n\n\n$2,425.15\n$1,781.44\n$2,574.85\n$3,218.56\" id=\"return-footnote-154-2\" href=\"#footnote-154-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a> FST Computer Stores has decided to give a total bonus of $10,000 to its outlets. The bonus will be proportional to the monthly sales (given below) for each outlet. Find the bonus for each outlet.<\/p>\n<div style=\"margin: auto;\">\n<table class=\"aligncenter\" style=\"width: 100%\">\n<tbody>\n<tr>\n<td><strong>Outlet<\/strong><\/td>\n<td><strong>Burnaby<\/strong><\/td>\n<td><strong>Downtown<\/strong><\/td>\n<td><strong>Richmond<\/strong><\/td>\n<td><strong>Surrey<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Sales<\/td>\n<td>$162,000<\/td>\n<td>$119,000<\/td>\n<td>$172,000<\/td>\n<td>$215,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"\u00a0\n\u00a0\nEast\nWest\n\n\na.\nGross Profit\n$8,000\n$9,000\n\n\n\nNet Profit\n$5,000\n$5,000\n\n\nb.\nGross Margin\n40%\n36%\n\n\n\nNet Margin\n25%\n20%\" id=\"return-footnote-154-3\" href=\"#footnote-154-3\" aria-label=\"Footnote 3\"><sup class=\"footnote\">[3]<\/sup><\/a> A-Plus Appliances two branches reported the following results for a one week period:<\/p>\n<table class=\"aligncenter\" style=\"width: 100%\">\n<tbody>\n<tr>\n<td>&nbsp;<\/p>\n<p>Sales<\/td>\n<td><strong>East<\/strong><\/p>\n<p>$20,000<\/td>\n<td><strong>West<\/strong><\/p>\n<p>$25,000<\/td>\n<\/tr>\n<tr>\n<td>COGS<\/td>\n<td>12,000<\/td>\n<td>16,000<\/td>\n<\/tr>\n<tr>\n<td>Other Expenses<\/td>\n<td>3,000<\/td>\n<td>4,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol type=\"a\">\n<li>Find the gross and net profits for each branch.<\/li>\n<li>Find the percent gross margin and percent net margin for each<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Sales\n$730,000\n\n\nCOGS\n452,600\n\n\nGross Profit\n277,400\n\n\nOperating Expenses\n197,100\n\n\nNet Profit\n80,300\" id=\"return-footnote-154-4\" href=\"#footnote-154-4\" aria-label=\"Footnote 4\"><sup class=\"footnote\">[4]<\/sup><\/a> Joan&#8217;s Co. knows that, nationwide, companies in its industry earn, on average, a percent gross margin of 38% and a percent net margin of 11%.\u00a0 Joan&#8217;s Co. forecasts sales of $730,000 next year. If it aims at the same profit ratio as the nationwide average, estimate Joan&#8217;s cost of goods, gross profit and net profit.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$12,000,\n \t40%\n \t28.57%\" id=\"return-footnote-154-5\" href=\"#footnote-154-5\" aria-label=\"Footnote 5\"><sup class=\"footnote\">[5]<\/sup><\/a> Jim&#8217;s Co. sees that its competitor sells an article for $42.00. It knows that the competitor pays $30.00 for the article.<\/p>\n<ol type=\"a\">\n<li>What is the competitor&#8217;s markup (dollar amount)?<\/li>\n<li>What is the competitor&#8217;s percent markup?<\/li>\n<li>What is the competitor&#8217;s percent gross margin?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"3158 CAD = 1.00 USD\n \t0.203947 CAD = 1 Krone\n \t10,000 Krones =2,039.47 CAD\n \t500 CAD = 2,451.61 Krones\" id=\"return-footnote-154-6\" href=\"#footnote-154-6\" aria-label=\"Footnote 6\"><sup class=\"footnote\">[6]<\/sup><\/a> At one time the exchange rate for the Canadian dollar was: 1 CAD = 0.76 USD<\/p>\n<p>For the Danish krone the rate was: 1 krone= 0.155 (USD)<\/p>\n<ol type=\"a\">\n<li>Find the value of $1 USD in terms of Canadian dollars (4 decimal places).<\/li>\n<li>Find the value of one Danish krone in terms of Canadian dollars (6 decimal places).<\/li>\n<li>How much would it cost (in Canadian dollars) to purchase 10,000 krones (2 decimal places)?<\/li>\n<li>How many krones can be purchased for $500 Canadian (2 decimal places)?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"August 16, 2018\n \t$5,665.00\n \tJune 27, 2018\n \t$163.71\n \t$5501.29\" id=\"return-footnote-154-7\" href=\"#footnote-154-7\" aria-label=\"Footnote 7\"><sup class=\"footnote\">[7]<\/sup><\/a> JB Appliances received an invoice which contained the following information:<\/p>\n<ul>\n<li>Date, June 17, 2018 Items:<\/li>\n<li>10 Refrigerators; list $710 each, less 25%, 20%<\/li>\n<li>5 Dryers; list $420 each, less 25%, 20%, 5% (special sale)<\/li>\n<li>Freight charge $208<\/li>\n<li>Payment terms 3\/10 net 60<\/li>\n<\/ul>\n<p>Find:<\/p>\n<ol type=\"a\">\n<li style=\"list-style-type: none\">\n<ol type=\"a\">\n<li>The last day for<\/li>\n<li>The amount due if the invoice was paid on the last day.<\/li>\n<li>The last day at which the cash discount<\/li>\n<li>The amount of discount allowed on the day in (c).<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<ol type=\"a\">\n<li>The amount to pay off the invoice on the day in (c)<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"43%\n \t44%\" id=\"return-footnote-154-8\" href=\"#footnote-154-8\" aria-label=\"Footnote 8\"><sup class=\"footnote\">[8]<\/sup><\/a> Mac&#8217;s Wholesale buys from a distributor which allows discounts of 25%, 20% and 5%.<\/p>\n<ol type=\"a\">\n<li>What single discount (called the <em>single equivalent discount) <\/em>would be equivalent to the above discounts?<\/li>\n<li>Compare the above discounts to discounts of 30%, 20%.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"66.67%\" id=\"return-footnote-154-9\" href=\"#footnote-154-9\" aria-label=\"Footnote 9\"><sup class=\"footnote\">[9]<\/sup><\/a> A branch of Jack&#8217;s Hardware has been told by its head office to sell goods at a percent gross margin of 40%. What percent markup should the branch use?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"13.7255%\" id=\"return-footnote-154-10\" href=\"#footnote-154-10\" aria-label=\"Footnote 10\"><sup class=\"footnote\">[10]<\/sup><\/a>\u00a0 CHMCO sells a product with discounts of 25%, 15% to its distributors. It plans to allow a seasonal discount to make the overall discount equal to 45%. What additional (chained) discount should CHMCO allow?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"November 16\n \t$3,230.00\n \tOctober 27\n \t$3,138.20\n \t$1,546.39\" id=\"return-footnote-154-11\" href=\"#footnote-154-11\" aria-label=\"Footnote 11\"><sup class=\"footnote\">[11]<\/sup><\/a> Wilson Co. has received an invoice dated October 17 for 5 items with list price $900 each, and for freight of $170. The terms were:<\/p>\n<ul>\n<li>Trade terms: list less 20%,15%.<\/li>\n<li>Payment terms: 3\/10, n\/30.<\/li>\n<\/ul>\n<p>Find:<\/p>\n<ol type=\"a\">\n<li>The last day for payment<\/li>\n<li>The amount due if payment is made on the last day<\/li>\n<li>The last day for taking a cash discount<\/li>\n<li>The amount needed to pay the invoice on the day in (c).<\/li>\n<li>If the seller agrees to give a cash discount on a partial payment, how much credit would be applied to the account if $1,500 were paid immediately?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Alpha \u03b1\nBeta \u03b2\nGamma \u03b3\n\n\na.\n20.00%\n34.2857142%\n45.7142857%\n\n\nb.\n$1,000,000\n$1,714,285.71\n$2,285,714.29\n\n\nc.\n$1,163,265.31\n$1,551,020.41\n$2,285,714.29\" id=\"return-footnote-154-12\" href=\"#footnote-154-12\" aria-label=\"Footnote 12\"><sup class=\"footnote\">[12]<\/sup><\/a> Three companies, Alpha, Beta and Gamma, are the only suppliers to a specialized market. Last year Alpha&#8217;s sales were $700,000, Beta&#8217;s $1,200,000 and Gamma&#8217;s $1,600,000.<\/p>\n<ol type=\"a\">\n<li>What was the market share (percent of market) of each company?\u00a0 <strong><em>Note: <\/em><\/strong>retain all decimal places calculated in (a) to solve (b) and (c).<\/li>\n<li>If next year&#8217;s total market is expected to be $5,000,000 and each company&#8217;s share remains the same, what would be the sales of each company?<\/li>\n<li>Alpha has an aim of making its sales 75% of Beta&#8217;s. With total sales as in (b) and Gamma&#8217;s as in (b) what would have to be the sales of Alpha and Beta if Alpha were to make its aim?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Gross Profit= $18,000, Net Profit= $13,000\n \t25%\n \t14,44%\" id=\"return-footnote-154-13\" href=\"#footnote-154-13\" aria-label=\"Footnote 13\"><sup class=\"footnote\">[13]<\/sup><\/a> Janet&#8217;s Co. has sales of $90,000, COGS of 80% of sales and operating expenses of $5,000.<\/p>\n<ol type=\"a\">\n<li>Find the gross and net profits.<\/li>\n<li>Find the rate of markup (based on cost).<\/li>\n<li>\u00a0Find the percent net margin.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"A: $1,300\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 B: $1,560\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 C: $3,250\" id=\"return-footnote-154-14\" href=\"#footnote-154-14\" aria-label=\"Footnote 14\"><sup class=\"footnote\">[14]<\/sup><\/a> Jim&#8217;s Co. has set a requirement on stock items of a turnover ratio of 2.6 per year. It is examining three stocked items, A, B and C, which have to be bought in large amounts. As a result of the purchasing requirements, the maximum stock for A is $1,000, for B $1,200 and for C $2,500.\u00a0\u00a0 If the average stock is assumed to be one-half the maximum stock, what would be the required annual sales of each of these items?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Branch I = $180,000; Branch II = $400,000; Branch ID= $300,000\" id=\"return-footnote-154-15\" href=\"#footnote-154-15\" aria-label=\"Footnote 15\"><sup class=\"footnote\">[15]<\/sup><\/a> Majjor Oil Co. allocates its maintenance budget to three of its branch offices on the basis (i.e., proportional to) of total floor space. Branch I has 9,000 sq. ft., Branch Il has 20,000 sq. ft. and Branch III has 15,000 sq. ft. If $880,000 is to be allocated, how much should each branch receive?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$3.98 CAD\/liter\" id=\"return-footnote-154-16\" href=\"#footnote-154-16\" aria-label=\"Footnote 16\"><sup class=\"footnote\">[16]<\/sup><\/a> A paint is advertised for sale with a price of $11.00 USD per gallon. Find the price in CAD\/liter if 1 CAD = 0.73 USD<\/p>\n<p>Given:<\/p>\n<ul>\n<li>1 liter = 1.0567 quarts<\/li>\n<li>1 gallon = 4 quarts<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$0.79 CAD\/liter\" id=\"return-footnote-154-17\" href=\"#footnote-154-17\" aria-label=\"Footnote 17\"><sup class=\"footnote\">[17]<\/sup><\/a> The wellhead price of a certain grade of oil is $69.00 USD per barrel. What is the price in CAD per liter?<\/p>\n<ul>\n<li>1 CAD = 0.73 USD<\/li>\n<li>1 Barrel = 31.5 US Gallons<\/li>\n<li>1 liter = 1.0567 quarts<\/li>\n<li>1 US Gallon = 4 quarts<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$588\" id=\"return-footnote-154-18\" href=\"#footnote-154-18\" aria-label=\"Footnote 18\"><sup class=\"footnote\">[18]<\/sup><\/a>\u00a0 An invoice arrives from the Home Shopping Network. The invoice is dated May 28th, and the invoice amount is $600. Calculate the net payment of the invoice if the te1ms are 2\/10, n\/30 and the invoice is paid on June 6.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$722.65\" id=\"return-footnote-154-19\" href=\"#footnote-154-19\" aria-label=\"Footnote 19\"><sup class=\"footnote\">[19]<\/sup><\/a> An invoice dated Aug. 12th for $745 containing the terms &#8220;3\/15, n\/60&#8221; was paid on Aug. 25th \u00a0How much should the cheque be to pay this invoice?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$1,176.00\" id=\"return-footnote-154-20\" href=\"#footnote-154-20\" aria-label=\"Footnote 20\"><sup class=\"footnote\">[20]<\/sup><\/a> An invoice dated May 4th for $1,200 has terms 3\/10, 2\/30, n\/60. How much should be paid on May 31st to fully pay off the invoice?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$1,438.46\" id=\"return-footnote-154-21\" href=\"#footnote-154-21\" aria-label=\"Footnote 21\"><sup class=\"footnote\">[21]<\/sup><\/a> An invoice dated May 1st for $4,000 has terms 3\/10, 2\/20, n\/45. It was partially paid by a $1,000 payment on May 10th and a second payment of $1,500 on May 20th. What is the outstanding balance after the May 20th payment?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"June 15th\n \tN = $3,456.12\n \t$3,526.65 - $2,551.02 = $975.63\" id=\"return-footnote-154-22\" href=\"#footnote-154-22\" aria-label=\"Footnote 22\"><sup class=\"footnote\">[22]<\/sup><\/a> A dealer purchased 10 DVD players at $300 each less discounts of 25% and 5%, and 5 TV&#8217;s at $450 each less 30%, 10% and 2%. The invoice for these items was dated June 5th and had terms 2\/10, n\/30.<\/p>\n<ol type=\"a\">\n<li>If the dealer wishes to take advantage of the cash discount, what would be the last day for payment?<\/li>\n<li>What amount must be paid on the day found in part a) to fully pay it off?<\/li>\n<li>If the dealer only sent in $2,500 on June 15th what would be the outstanding balance?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$5,758.76\" id=\"return-footnote-154-23\" href=\"#footnote-154-23\" aria-label=\"Footnote 23\"><sup class=\"footnote\">[23]<\/sup><\/a> An invoice for $12,000 has payment terms 3\/10, 2\/20, n\/45. Discounts are allowed for partial payments. The company made of payment of $4,000 9 days after the date of invoice, and a second payment 18 days after the date of the invoice that reduced the balance owing to $2,000. What is size of the second payment?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$1,275.51 is credited and a total of $2,474.49 is paid\" id=\"return-footnote-154-24\" href=\"#footnote-154-24\" aria-label=\"Footnote 24\"><sup class=\"footnote\">[24]<\/sup><\/a>\u00a0 An invoice for $2,500 has terms 2\/10, n\/30. The invoice is dated April 27th and half of the invoice amount is paid on May 1st and the rest is paid on May 20th. If the seller grants discounts for partial payments, by how much is the balance reduced by the 1st payment? What is the total amount paid?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$408.16 + $404.04 = $812.20 is the credit and $387.80 is still owing.\" id=\"return-footnote-154-25\" href=\"#footnote-154-25\" aria-label=\"Footnote 25\"><sup class=\"footnote\">[25]<\/sup><\/a> A seller grants discounts for partial payments. An invoice for $1,200, dated May 1st, has terms 2\/10, 1\/15, n\/60 and $400 is paid on May 5th, $400 on May 14th and the rest is paid on June 5th\u2022 How much is the balance reduced by the two early payments? How much is paid on June 5th?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$2,303.07\" id=\"return-footnote-154-26\" href=\"#footnote-154-26\" aria-label=\"Footnote 26\"><sup class=\"footnote\">[26]<\/sup><\/a> Chan Enterprises sent CK Air an invoice dated Sept. 14th for $5,400 with terms 3\/10, 1.5\/20, n\/45. CK Air made a payment of $2,000 on Sept 24th and a second payment on Oct 3 that reduced the balance owing to $1,000. What was the size of the second payment?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$4,306.50\" id=\"return-footnote-154-27\" href=\"#footnote-154-27\" aria-label=\"Footnote 27\"><sup class=\"footnote\">[27]<\/sup><\/a> You receive an invoice from AG Electronics dated Feb. 10th for:<\/p>\n<ul>\n<li>20 TV sets at $500 per set less 20% and 15%.<\/li>\n<li>30 DVD players at $200 each less 25% and 10%.<\/li>\n<\/ul>\n<p>AG Electronics has payment terms 2\/10, 1\/20, n\/45. Cash discounts are allowed for partial payments. They make of payment of $4,900 on Feb 18th and a second payment on Feb 26th that reduced the balance owing to $1,500. What is the size of the second payment?<\/p>\n<p><a class=\"footnote\" title=\"Debt: $1,500,000 C\/S: $1,200,000 P\/S: $600,000\" id=\"return-footnote-154-28\" href=\"#footnote-154-28\" aria-label=\"Footnote 28\"><sup class=\"footnote\">[28]<\/sup><\/a>.\u00a0\u00a0\u00a0 The Harrison Lake Corporation likes to maintain a capital structure of 5:4:2 (dollar value of debt to common shares to preferred shares). The company is considering a new project and will need to raise $3,300,000. If the company wishes to maintain its existing capital structure, how much debt, common stock and preferred stock should they issue?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$450,000; L: $562,500;\u00a0 S: $487,500\n \tN: 15,000 students L: 26,786 students S:23,214 students\" id=\"return-footnote-154-29\" href=\"#footnote-154-29\" aria-label=\"Footnote 29\"><sup class=\"footnote\">[29]<\/sup><\/a> The Ministry of Education allocates its budget in proportion to student enrollments. The Ministry has $1,500,000 to allocate and the student enrollments are as follows:<\/p>\n<table class=\"aligncenter\" style=\"width: 100%\">\n<tbody>\n<tr>\n<td>High Knowledge Institute, The<\/td>\n<td>12,000<\/td>\n<\/tr>\n<tr>\n<td>Institute of Technology<\/td>\n<td>15,000<\/td>\n<\/tr>\n<tr>\n<td>School of Hard Knox<\/td>\n<td>13,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol type=\"a\">\n<li>Allocate the budget in proportion to<\/li>\n<li>The following year total enrollment is expected to reach 65,000. High Knowledge Institute is expected to have 3,000 more students and the ratio of students at The Institute of Technology to Students at Hard Knocks will remain the same at 15:13. Give the new estimate for enrollment at each<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Alan: $150,000; Barbara: $132,500 Chuck: $97,500\" id=\"return-footnote-154-30\" href=\"#footnote-154-30\" aria-label=\"Footnote 30\"><sup class=\"footnote\">[30]<\/sup><\/a> An engineering firm is owned by three partners (Alan, Barbara, and Chuck) with 4,000, 3,000 and 1,000 shares respectively. The company&#8217;s net income for the year is $4,500,000 and 10% of that income has been set aside as a performance bonus. The bonus will be allocated in the following way:<\/p>\n<ul>\n<li>$70,000 to be distributed amongst all staff excluding the partners.<\/li>\n<li>Each partner will get $80,000.<\/li>\n<li>The remainder is to be divided among the partners in proportion to the number of shares held.<\/li>\n<\/ul>\n<p>What was the total amount of bonus received by each partner?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Sales: $150,000; Fin: $75,000; Admin: $37,500 (same for R &amp; D)\" id=\"return-footnote-154-31\" href=\"#footnote-154-31\" aria-label=\"Footnote 31\"><sup class=\"footnote\">[31]<\/sup><\/a> The $300,000 yearly rent of a four-story building is to be expensed to the four departments using it according to the number of floors occupied. Sales occupies two floors, Finance one floor, Administration and Research and Development (R &amp; D) share one floor equally. How much of the rent expense is allocated to each department?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Alicia: $5,125; Bob: $3,250; Charles: 0; Diana: $1,625\" id=\"return-footnote-154-32\" href=\"#footnote-154-32\" aria-label=\"Footnote 32\"><sup class=\"footnote\">[32]<\/sup><\/a>\u00a0 Last year, Reliable Securities established a sales achievement bonus fund of $10,000 to be distributed at the year&#8217;s end among its four-person mutual fund sales force. The distribution is to be made in the same proportion as the amounts by which each person&#8217;s sales exceed the basic quota of $500,000. How much bonus will each salesperson receive from the fund if the sales figures for the year were $910,000 for Alicia; $760,000 for Bob; $460,000 for Charles; $630,000 for Diana?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$375,000\" id=\"return-footnote-154-33\" href=\"#footnote-154-33\" aria-label=\"Footnote 33\"><sup class=\"footnote\">[33]<\/sup><\/a> For the past seven years the sales of Departments A, B, and C have maintained a relatively stable ratio of 4:3:2. Department A is predicting that their sales will be $500,000 next year. Based on their past sales ratio, what sales would be predicted for Department B?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"N = $1,065.90 D = 51.6%\" id=\"return-footnote-154-34\" href=\"#footnote-154-34\" aria-label=\"Footnote 34\"><sup class=\"footnote\">[34]<\/sup><\/a>\u00a0 If the chain discount on an item listed at $2,200 is 40%, 15%, 5%, what is the net price? What single rate of discount is equivalent to this series of discounts?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"60%\" id=\"return-footnote-154-35\" href=\"#footnote-154-35\" aria-label=\"Footnote 35\"><sup class=\"footnote\">[35]<\/sup><\/a> The Ray department store is selling all summer clothes at 50% off the regular retail price during the month of September. On Saturdays only, they are offering an additional 20% off the already discounted price. What is the single equivalent discount rate on Saturdays?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"5%\" id=\"return-footnote-154-36\" href=\"#footnote-154-36\" aria-label=\"Footnote 36\"><sup class=\"footnote\">[36]<\/sup><\/a> A publisher sells its romance novels with chained discounts of 20% and 10%. The publisher would like to add a third discount to bring the overall discounts to 31.6%. Find the third discount rate.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"L = $650.00; D = 34.525%\" id=\"return-footnote-154-37\" href=\"#footnote-154-37\" aria-label=\"Footnote 37\"><sup class=\"footnote\">[37]<\/sup><\/a>\u00a0 If the net price of a typewriter was $425.59 after chain discounts of 25%, 10% and 3%, what was the list price? What is the equivalent single discount rate?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$152.16, 43.5%\" id=\"return-footnote-154-38\" href=\"#footnote-154-38\" aria-label=\"Footnote 38\"><sup class=\"footnote\">[38]<\/sup><\/a>\u00a0 A patio set is listed at $350. What is the size of the discount (in dollars) if the buyer is eligible for discounts of 30%, 15% and 5%? Convert the chain discount into a single equivalent discount rate.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Mfg A: Total discount= 47.864%; Mfg B: Total discount= 52.15% (B is larger)\" id=\"return-footnote-154-39\" href=\"#footnote-154-39\" aria-label=\"Footnote 39\"><sup class=\"footnote\">[39]<\/sup><\/a> Which offers the larger discount? Manufacturer A offering chain discounts of 30%, 20%, 5%, 2% or Manufacturer B giving 45%, 13%?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"more than 4.76%\" id=\"return-footnote-154-40\" href=\"#footnote-154-40\" aria-label=\"Footnote 40\"><sup class=\"footnote\">[40]<\/sup><\/a> Island Remanufactured Wood Products Inc. sells its products at trade discounts of 30%, 10%. A competitor has been offering products at the same list prices but with trade discounts of 25%, 20%. Island Reman wishes to beat the competitor&#8217;s prices by offering a third trade discount. At least how big must the additional discount rate be to meet this objective?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"4.8%\" id=\"return-footnote-154-41\" href=\"#footnote-154-41\" aria-label=\"Footnote 41\"><sup class=\"footnote\">[41]<\/sup><\/a> Toys-R-Costly sells Barbie Computers for $840 less 20% and 15%. A competitor sells a similar computer for $800 less 25%. What further discount (second discount) must the competitor allow so that its net price is the same as Toys-R-Costly&#8217;s?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"33.33%\" id=\"return-footnote-154-42\" href=\"#footnote-154-42\" aria-label=\"Footnote 42\"><sup class=\"footnote\">[42]<\/sup><\/a> In order to stimulate sales of file cabinets, a manufacturer had to offer a temporary additional discount to its present rate of 25%. The list price is $300. What additional temporary discount would have to be given in order to achieve a net price of $150?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"N = $382.50\n \t23.5%\n \t4.575%\" id=\"return-footnote-154-43\" href=\"#footnote-154-43\" aria-label=\"Footnote 43\"><sup class=\"footnote\">[43]<\/sup><\/a> Wadi Air Conditioners Ltd. sells one model at a list price of $500. Retailers are offered discounts of 15% and 10%.<\/p>\n<ol type=\"a\">\n<li>Find the net price of an air conditioner.<\/li>\n<li>Find the single equivalent discount rate<\/li>\n<li>Wadi would like to add a third chained discount to bring the total discount to 27%. Calculate the rate of the third discount.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$306\n \t23.5%\n \t$d_3 = 8.50%$\n \t$350\" id=\"return-footnote-154-44\" href=\"#footnote-154-44\" aria-label=\"Footnote 44\"><sup class=\"footnote\">[44]<\/sup><\/a> A company manufactures Bluetooth Speakers. The Speakers retails for $400 and are offered to the wholesaler with chained discounts of 10% and 15%.<\/p>\n<ol type=\"a\">\n<li>Find the net price after discount.<\/li>\n<li>What is the single equivalent discount rate?<\/li>\n<li>The manufacturer would like to add a third discount to bring the total discount to 30%. Calculate the rate of the third discount.<\/li>\n<li>A competitor offers a single discount of 25%. This amounts to a discount of $87.50 off the list price. What is the list price?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$70\/bag\" id=\"return-footnote-154-45\" href=\"#footnote-154-45\" aria-label=\"Footnote 45\"><sup class=\"footnote\">[45]<\/sup><\/a>\u00a0 After graduation you decide to start up a business selling spices imported from Colombia. The main product you import, saffron, sells for 95,149.87 Pesos for a 4-ounce jar. In Canada, you sell the product in 125 gram bags. Find the selling price in Canadian dollars per 125 gram bag. Use the following:<\/p>\n<ul>\n<li>1 pound = 454 grams<\/li>\n<li>1 USD = 1.5644 CAD<\/li>\n<li>125 grams = 1 bag<\/li>\n<li>16 ounces = 1 pound<\/li>\n<li>0.000427 USD = 1 COP (Columbian Peso)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"\u00a3549.40\" id=\"return-footnote-154-46\" href=\"#footnote-154-46\" aria-label=\"Footnote 46\"><sup class=\"footnote\">[46]<\/sup><\/a> You are taking a holiday in Britain. You are taking $750 USD with you. How many British pounds can you buy with this money?<\/p>\n<p><strong>Rates:<\/strong><\/p>\n<ul>\n<li>$1 USD= $1.5644 CAD<\/li>\n<li>1 British pound (\u00a3) = $2.1356 CAD<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"0.856959 USD\/quart, so $0.86 USD\/quart\" id=\"return-footnote-154-47\" href=\"#footnote-154-47\" aria-label=\"Footnote 47\"><sup class=\"footnote\">[47]<\/sup><\/a> You are thinking of expanding your bottled\u00a0 water\u00a0 company to the US. Your company bottles pure Fraser River water collected near the Oak Street Bridge. Your water currently sells for $0.85 per 600 ml bottle.\u00a0 The water shipped\u00a0 to the US would be sold in quart bottles. What price, in US dollars, should you charge for a quart of your water? (Convert the Canadian price per 600 ml to a US price per quart).<\/p>\n<p><strong>Rates:<\/strong><\/p>\n<ul>\n<li>$1 USD= $1.5644 CAD<\/li>\n<li>1 Gallon = 3.7853 Litres<\/li>\n<li>4 Quarts = 1 Gallon<\/li>\n<li>1,000 ml = 1 Litre<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"1.11 CAD\/can\" id=\"return-footnote-154-48\" href=\"#footnote-154-48\" aria-label=\"Footnote 48\"><sup class=\"footnote\">[48]<\/sup><\/a> You missed the Back Yard Boys concert at GM Place, and have decided to drive to Seattle to see them. After driving through customs, you stop at the Thrifty market in Blaine. You see a quart size bottle of Duff Cola selling for $1.89 USD. You would like to compare this price to the price of a Canadian can of Cola. Convert the price to Canadian dollars per can.<\/p>\n<p><strong>Rates:<\/strong><\/p>\n<ul>\n<li>$1 USD = $1.5644 CAD<\/li>\n<li>1.0567 Quarts = 1 Litre<\/li>\n<li>1 Litre = 1,000 ml<\/li>\n<li>1 can = 355 ml<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"1.76 USD\/gallon, so cheaper in Canada\" id=\"return-footnote-154-49\" href=\"#footnote-154-49\" aria-label=\"Footnote 49\"><sup class=\"footnote\">[49]<\/sup><\/a> In California gasoline sells for $1.99 USD per gallon. In British Columbia gasoline is currently selling for $0.729 CAD per liter. Convert the Canadian price per liter to US dollars per gallon. Is the price of gasoline cheaper in California or in BC?<\/p>\n<p><strong>Rates:<\/strong><\/p>\n<ul>\n<li>$1 USD= $1.5644 CAD<\/li>\n<li>1 Litre = 1.0567 Quarts<\/li>\n<li>4 Quarts = 1 Gallon<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"0.30 CAD\/Liter\" id=\"return-footnote-154-50\" href=\"#footnote-154-50\" aria-label=\"Footnote 50\"><sup class=\"footnote\">[50]<\/sup><\/a> You purchase gasoline for your gas stations from local refineries. A number of labour disruptions and increasing costs have motivated you to consider importing gasoline from the Emirate of Abu Dhabi. Refined gasoline sells for 91.30 Dirhams per barrel. Calculate the equivalent Canadian price in liters given:<\/p>\n<p><strong>Rates:<\/strong><\/p>\n<ul>\n<li>3 Dirhams =\u00a0 1 USD<\/li>\n<li>0.638 USD =\u00a0 1 CAD<\/li>\n<li>1 Barrel = 42 Gallons<\/li>\n<li>1 Gallon = 4 Quarts<\/li>\n<li>1 Quart = 0.9464 Liters<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Cost\nSales Price\nMarkup in dollars\n% Markup\n% Margin\n\n\n\n\n$125\n$175\n$50\n40%\n28.57%\n\n\n$75\n$95\n$20\n26.67%\n21.05%\" id=\"return-footnote-154-51\" href=\"#footnote-154-51\" aria-label=\"Footnote 51\"><sup class=\"footnote\">[51]<\/sup><\/a>\u00a0 Fill in the Following Table:<\/p>\n<table class=\"aligncenter\" style=\"width: 100%\">\n<thead>\n<tr style=\"height: 18px\">\n<td style=\"height: 18px;width: 47.3px\"><strong>Cost<\/strong><\/td>\n<td style=\"height: 18px;width: 104.017px\"><strong>Sales Price<\/strong><\/td>\n<td style=\"height: 18px;width: 172.867px\"><strong>Markup in dollars<\/strong><\/td>\n<td style=\"height: 18px;width: 107.7px\"><strong>% Markup<\/strong><\/td>\n<td style=\"height: 18px;width: 100.733px\"><strong>% Margin<\/strong><\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 18px\">\n<td style=\"height: 18px;width: 47.3px\">$125<\/td>\n<td style=\"height: 18px;width: 104.017px\">$175<\/td>\n<td style=\"height: 18px;width: 172.867px\"><\/td>\n<td style=\"height: 18px;width: 107.7px\"><\/td>\n<td style=\"height: 18px;width: 100.733px\"><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"height: 18px;width: 47.3px\">$75<\/td>\n<td style=\"height: 18px;width: 104.017px\">$95<\/td>\n<td style=\"height: 18px;width: 172.867px\"><\/td>\n<td style=\"height: 18px;width: 107.7px\"><\/td>\n<td style=\"height: 18px;width: 100.733px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Cost = $2,992.50\n \t10.24%\n \t9.29%\" id=\"return-footnote-154-52\" href=\"#footnote-154-52\" aria-label=\"Footnote 52\"><sup class=\"footnote\">[52]<\/sup><\/a> A computer dealer buys NADIR brand VR headsets for $3,500 less 10%, 5% and sells them for $3,299.<\/p>\n<ol type=\"a\">\n<li>What is the Cost?<\/li>\n<li>What is the rate of markup?<\/li>\n<li>What is the percent margin?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$415.63\n \t$311.72\n \t25%\" id=\"return-footnote-154-53\" href=\"#footnote-154-53\" aria-label=\"Footnote 53\"><sup class=\"footnote\">[53]<\/sup><\/a> An outboard motor costs the retailer $500 less chain discounts of 30%, 25% and 5%: The company maintained a margin of 40% on all items. The motor was sold after it had been marked down 25%.<\/p>\n<ol type=\"a\">\n<li>What was the regular selling price?<\/li>\n<li>What was the actual selling price (sale price)?<\/li>\n<li>What rate of markup did they use? (based on part b)<\/li>\n<\/ol>\n<p><a class=\"footnote\" title=\"$19.50\n \t$18.75\n \t$3,090 gross profit, $1,965 net profit\" id=\"return-footnote-154-54\" href=\"#footnote-154-54\" aria-label=\"Footnote 54\"><sup class=\"footnote\">[54]<\/sup><\/a> A souvenir stand bought 300 hockey sweaters for $15 each. They sold 170 at the regular selling price of $30 each but had to sell another 70 sweaters at a 35% discount (markdown) near the end of the hockey season and the remaining sweaters were cleared by selling them at a breakeven price which exactly covered the cost of the sweaters plus overhead. Overhead (operating expenses) are roughly 25% of cost.<\/p>\n<ol type=\"a\">\n<li>What was the selling price per sweater for the 70 sweaters sold near the end of the season?<\/li>\n<li>What was the selling price per sweater for those sweaters sold at the breakeven price?<\/li>\n<li>What was the gross profit (loss) and net profit earned from the sale of the 300 sweaters?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"33.33%\" id=\"return-footnote-154-55\" href=\"#footnote-154-55\" aria-label=\"Footnote 55\"><sup class=\"footnote\">[55]<\/sup><\/a> Wilma Inc. prices its products to provide a 25% margin. What rate of markup do they use?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"C = $250\n \tS = $300\n \t% margin = 16.67%\" id=\"return-footnote-154-56\" href=\"#footnote-154-56\" aria-label=\"Footnote 56\"><sup class=\"footnote\">[56]<\/sup><\/a> You know that a TV retailer makes $50 on the sale of a certain model of television set and the retailer has a markup policy of 20% of cost.<\/p>\n<ol type=\"a\">\n<li>How much did this TV set cost the retailer?<\/li>\n<li>What is the selling price of the TV set?<\/li>\n<li>Find the percent margin.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"C = $2,142.86, percent margin= 52.4%\" id=\"return-footnote-154-57\" href=\"#footnote-154-57\" aria-label=\"Footnote 57\"><sup class=\"footnote\">[57]<\/sup><\/a> A diamond ring sells for $4,500. If the rate of markup is 110%, what did the ring cost the retailer? What is the percent margin?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$348.36\" id=\"return-footnote-154-58\" href=\"#footnote-154-58\" aria-label=\"Footnote 58\"><sup class=\"footnote\">[58]<\/sup><\/a> An item that cost the dealer $350 less 35% and 12.5% carries a price tag at a markup of 150% of cost. For quick sale, the item was reduced 30%. What was the sale price?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"Markup = $1,239.13\u00a0 NP= $1,049.13\" id=\"return-footnote-154-59\" href=\"#footnote-154-59\" aria-label=\"Footnote 59\"><sup class=\"footnote\">[59]<\/sup><\/a> The selling price of an automobile is $9,500. If the markup is 15% of cost and the operating expenses are 2% of the selling price, how much is the gross profit (markup in $)? What is the net profit?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"76.99%\" id=\"return-footnote-154-60\" href=\"#footnote-154-60\" aria-label=\"Footnote 60\"><sup class=\"footnote\">[60]<\/sup><\/a> ABC Co. prices its products to provide a 43.5% margin. What rate of markup do they use?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$112.50\n \t$96.00\" id=\"return-footnote-154-61\" href=\"#footnote-154-61\" aria-label=\"Footnote 61\"><sup class=\"footnote\">[61]<\/sup><\/a> A bookstore has a policy of maintaining a margin of 20%.<\/p>\n<ol type=\"a\">\n<li>\u00a0If an item costs $90, how much should it sell for?<\/li>\n<li>If another book sells for $120, how much did it cost?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$240.00\" id=\"return-footnote-154-62\" href=\"#footnote-154-62\" aria-label=\"Footnote 62\"><sup class=\"footnote\">[62]<\/sup><\/a> The regular selling price of merchandise sold in a store includes a margin of 40%. During a sale, an item that costs the store $180 was marked down 20%. For how much was the item sold for?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$250\" id=\"return-footnote-154-63\" href=\"#footnote-154-63\" aria-label=\"Footnote 63\"><sup class=\"footnote\">[63]<\/sup><\/a> An item sells for $500. If the company uses a 100% rate of markup, what is the cost of the item?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$50\" id=\"return-footnote-154-64\" href=\"#footnote-154-64\" aria-label=\"Footnote 64\"><sup class=\"footnote\">[64]<\/sup><\/a> Scoopy-Doo Pet Foods prices its pet food to maintain a 45% margin. A 7-kg bag of Woof-Woof dog food costs $27.50. Calculate the selling price.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"C = $7.00,\u00a0 % margin=\u00a0 14\/21 = 66.67%\" id=\"return-footnote-154-65\" href=\"#footnote-154-65\" aria-label=\"Footnote 65\"><sup class=\"footnote\">[65]<\/sup><\/a> CK Winery sells its merlot red wine for $21.00. If the rate of markup is 200%, what did the wine cost the retailer? What is the percent margin?<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"C = $500, S = $600, % margin = 16.67%\" id=\"return-footnote-154-66\" href=\"#footnote-154-66\" aria-label=\"Footnote 66\"><sup class=\"footnote\">[66]<\/sup><\/a> If you knew that an appliance dealer makes $100 on the sale of a certain model of washing machine and the dealer has a markup policy of 20% of cost, how much did this washer cost the dealer? What is the selling price of the washer? Find the percent margin.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$1,360.00\" id=\"return-footnote-154-67\" href=\"#footnote-154-67\" aria-label=\"Footnote 67\"><sup class=\"footnote\">[67]<\/sup><\/a> Find the cost of an item sold for $1,904 to realize a rate of markup of 40%.<\/p>\n<p>&nbsp;<\/p>\n<p><a class=\"footnote\" title=\"$72.07\" id=\"return-footnote-154-68\" href=\"#footnote-154-68\" aria-label=\"Footnote 68\"><sup class=\"footnote\">[68]<\/sup><\/a>\u00a0 A retailer bought an article for $78 and his rate of markup is 32%. He sold this article in a sale after having marked it down by 30%. What is the sale price?<\/p>\n<h2>Solutions<\/h2>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-154-1\">\r\n<table style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><strong>October<\/strong><\/td>\r\n<td><strong>November<\/strong><\/td>\r\n<td><strong>December<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>a. $2,000<\/td>\r\n<td>$9,000<\/td>\r\n<td>$25,000<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b. 5.00%<\/td>\r\n<td>15.25%<\/td>\r\n<td>22.94%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-154-2\">\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>Burnaby<\/strong><\/td>\r\n<td><strong>Downtown<\/strong><\/td>\r\n<td><strong>Richmond<\/strong><\/td>\r\n<td><strong>Surrey<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$2,425.15<\/td>\r\n<td>$1,781.44<\/td>\r\n<td>$2,574.85<\/td>\r\n<td>$3,218.56<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><li id=\"footnote-154-3\">\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><strong>\u00a0<\/strong><\/td>\r\n<td style=\"height: 18px;width: 271px\"><strong>\u00a0<\/strong><\/td>\r\n<td style=\"height: 18px;width: 147.867px\"><strong>East<\/strong><\/td>\r\n<td style=\"height: 18px;width: 149.533px\"><strong>West<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\">a.<\/td>\r\n<td style=\"height: 18px;width: 271px\">Gross Profit<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">$8,000<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">$9,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><\/td>\r\n<td style=\"height: 18px;width: 271px\">Net Profit<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">$5,000<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">$5,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\">b.<\/td>\r\n<td style=\"height: 18px;width: 271px\">Gross Margin<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">40%<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">36%<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"height: 18px;width: 58.5667px\"><\/td>\r\n<td style=\"height: 18px;width: 271px\">Net Margin<\/td>\r\n<td style=\"height: 18px;width: 147.867px\">25%<\/td>\r\n<td style=\"height: 18px;width: 149.533px\">20%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-3\" class=\"return-footnote\" aria-label=\"Return to footnote 3\">&crarr;<\/a><\/li><li id=\"footnote-154-4\">\r\n<table style=\"border-collapse: collapse;width: 100%;height: 107px\">\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Sales<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">$730,000<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">COGS<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\"><span style=\"text-decoration: underline\">452,600<\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Gross Profit<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">277,400<\/td>\r\n<\/tr>\r\n<tr style=\"height: 35px\">\r\n<td style=\"width: 14.4444%;height: 35px\">Operating Expenses<\/td>\r\n<td style=\"width: 1.5873%;height: 35px\"><span style=\"text-decoration: underline\">197,100<\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 14.4444%;height: 18px\">Net Profit<\/td>\r\n<td style=\"width: 1.5873%;height: 18px\">80,300<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-4\" class=\"return-footnote\" aria-label=\"Return to footnote 4\">&crarr;<\/a><\/li><li id=\"footnote-154-5\">\r\n<ol type=\"a\">\r\n \t<li>$12,000,<\/li>\r\n \t<li>40%<\/li>\r\n \t<li>28.57%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-5\" class=\"return-footnote\" aria-label=\"Return to footnote 5\">&crarr;<\/a><\/li><li id=\"footnote-154-6\">\r\n<ol type=\"a\">\r\n \t<li>3158 CAD = 1.00 USD<\/li>\r\n \t<li>0.203947 CAD = 1 Krone<\/li>\r\n \t<li>10,000 Krones =2,039.47 CAD<\/li>\r\n \t<li>500 CAD = 2,451.61 Krones<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-6\" class=\"return-footnote\" aria-label=\"Return to footnote 6\">&crarr;<\/a><\/li><li id=\"footnote-154-7\">\r\n<ol type=\"a\">\r\n \t<li>August 16, 2018<\/li>\r\n \t<li>$5,665.00<\/li>\r\n \t<li>June 27, 2018<\/li>\r\n \t<li>$163.71<\/li>\r\n \t<li>$5501.29<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-7\" class=\"return-footnote\" aria-label=\"Return to footnote 7\">&crarr;<\/a><\/li><li id=\"footnote-154-8\">\r\n<ol type=\"a\">\r\n \t<li>43%<\/li>\r\n \t<li>44%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-8\" class=\"return-footnote\" aria-label=\"Return to footnote 8\">&crarr;<\/a><\/li><li id=\"footnote-154-9\">\r\n\r\n66.67%\r\n\r\n <a href=\"#return-footnote-154-9\" class=\"return-footnote\" aria-label=\"Return to footnote 9\">&crarr;<\/a><\/li><li id=\"footnote-154-10\">13.7255%\r\n\r\n <a href=\"#return-footnote-154-10\" class=\"return-footnote\" aria-label=\"Return to footnote 10\">&crarr;<\/a><\/li><li id=\"footnote-154-11\">\r\n<ol type=\"a\">\r\n \t<li>November 16<\/li>\r\n \t<li>$3,230.00<\/li>\r\n \t<li>October 27<\/li>\r\n \t<li>$3,138.20<\/li>\r\n \t<li>$1,546.39<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-11\" class=\"return-footnote\" aria-label=\"Return to footnote 11\">&crarr;<\/a><\/li><li id=\"footnote-154-12\">\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>Alpha \u03b1<\/td>\r\n<td>Beta \u03b2<\/td>\r\n<td>Gamma \u03b3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>a.<\/td>\r\n<td>20.00%<\/td>\r\n<td>34.2857142%<\/td>\r\n<td>45.7142857%<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b.<\/td>\r\n<td>$1,000,000<\/td>\r\n<td>$1,714,285.71<\/td>\r\n<td>$2,285,714.29<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>c.<\/td>\r\n<td>$1,163,265.31<\/td>\r\n<td>$1,551,020.41<\/td>\r\n<td>$2,285,714.29<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-12\" class=\"return-footnote\" aria-label=\"Return to footnote 12\">&crarr;<\/a><\/li><li id=\"footnote-154-13\">\r\n<ol type=\"a\">\r\n \t<li>Gross Profit= $18,000, Net Profit= $13,000<\/li>\r\n \t<li>25%<\/li>\r\n \t<li>14,44%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-13\" class=\"return-footnote\" aria-label=\"Return to footnote 13\">&crarr;<\/a><\/li><li id=\"footnote-154-14\">\r\n\r\nA: $1,300\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 B: $1,560\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 C: $3,250\r\n\r\n <a href=\"#return-footnote-154-14\" class=\"return-footnote\" aria-label=\"Return to footnote 14\">&crarr;<\/a><\/li><li id=\"footnote-154-15\">\r\n\r\nBranch I = $180,000; Branch II = $400,000; Branch ID= $300,000\r\n\r\n <a href=\"#return-footnote-154-15\" class=\"return-footnote\" aria-label=\"Return to footnote 15\">&crarr;<\/a><\/li><li id=\"footnote-154-16\">\r\n\r\n$3.98 CAD\/liter\r\n\r\n <a href=\"#return-footnote-154-16\" class=\"return-footnote\" aria-label=\"Return to footnote 16\">&crarr;<\/a><\/li><li id=\"footnote-154-17\"> $0.79 CAD\/liter\r\n\r\n <a href=\"#return-footnote-154-17\" class=\"return-footnote\" aria-label=\"Return to footnote 17\">&crarr;<\/a><\/li><li id=\"footnote-154-18\">$588\r\n\r\n <a href=\"#return-footnote-154-18\" class=\"return-footnote\" aria-label=\"Return to footnote 18\">&crarr;<\/a><\/li><li id=\"footnote-154-19\"> $722.65  <a href=\"#return-footnote-154-19\" class=\"return-footnote\" aria-label=\"Return to footnote 19\">&crarr;<\/a><\/li><li id=\"footnote-154-20\">$1,176.00 <a href=\"#return-footnote-154-20\" class=\"return-footnote\" aria-label=\"Return to footnote 20\">&crarr;<\/a><\/li><li id=\"footnote-154-21\">$1,438.46 <a href=\"#return-footnote-154-21\" class=\"return-footnote\" aria-label=\"Return to footnote 21\">&crarr;<\/a><\/li><li id=\"footnote-154-22\">\r\n<ol type=\"a\">\r\n \t<li>June 15th<\/li>\r\n \t<li>N = $3,456.12<\/li>\r\n \t<li>$3,526.65 - $2,551.02 = $975.63<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-22\" class=\"return-footnote\" aria-label=\"Return to footnote 22\">&crarr;<\/a><\/li><li id=\"footnote-154-23\">$5,758.76\r\n\r\n <a href=\"#return-footnote-154-23\" class=\"return-footnote\" aria-label=\"Return to footnote 23\">&crarr;<\/a><\/li><li id=\"footnote-154-24\">$1,275.51 is credited and a total of $2,474.49 is paid\r\n\r\n <a href=\"#return-footnote-154-24\" class=\"return-footnote\" aria-label=\"Return to footnote 24\">&crarr;<\/a><\/li><li id=\"footnote-154-25\">$408.16 + $404.04 = $812.20 is the credit and $387.80 is still owing.\r\n\r\n <a href=\"#return-footnote-154-25\" class=\"return-footnote\" aria-label=\"Return to footnote 25\">&crarr;<\/a><\/li><li id=\"footnote-154-26\">$2,303.07  <a href=\"#return-footnote-154-26\" class=\"return-footnote\" aria-label=\"Return to footnote 26\">&crarr;<\/a><\/li><li id=\"footnote-154-27\">$4,306.50  <a href=\"#return-footnote-154-27\" class=\"return-footnote\" aria-label=\"Return to footnote 27\">&crarr;<\/a><\/li><li id=\"footnote-154-28\">Debt: $1,500,000 C\/S: $1,200,000 P\/S: $600,000\r\n\r\n <a href=\"#return-footnote-154-28\" class=\"return-footnote\" aria-label=\"Return to footnote 28\">&crarr;<\/a><\/li><li id=\"footnote-154-29\">\r\n<ol type=\"a\">\r\n \t<li>$450,000; L: $562,500;\u00a0 S: $487,500<\/li>\r\n \t<li>N: 15,000 students L: 26,786 students S:23,214 students<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-29\" class=\"return-footnote\" aria-label=\"Return to footnote 29\">&crarr;<\/a><\/li><li id=\"footnote-154-30\">Alan: $150,000; Barbara: $132,500 Chuck: $97,500\r\n\r\n <a href=\"#return-footnote-154-30\" class=\"return-footnote\" aria-label=\"Return to footnote 30\">&crarr;<\/a><\/li><li id=\"footnote-154-31\">\r\n\r\nSales: $150,000; Fin: $75,000; Admin: $37,500 (same for R &amp; D)\r\n\r\n <a href=\"#return-footnote-154-31\" class=\"return-footnote\" aria-label=\"Return to footnote 31\">&crarr;<\/a><\/li><li id=\"footnote-154-32\">Alicia: $5,125; Bob: $3,250; Charles: 0; Diana: $1,625\r\n\r\n <a href=\"#return-footnote-154-32\" class=\"return-footnote\" aria-label=\"Return to footnote 32\">&crarr;<\/a><\/li><li id=\"footnote-154-33\">$375,000\r\n\r\n <a href=\"#return-footnote-154-33\" class=\"return-footnote\" aria-label=\"Return to footnote 33\">&crarr;<\/a><\/li><li id=\"footnote-154-34\">N = $1,065.90 D = 51.6%\r\n\r\n <a href=\"#return-footnote-154-34\" class=\"return-footnote\" aria-label=\"Return to footnote 34\">&crarr;<\/a><\/li><li id=\"footnote-154-35\">60%\r\n\r\n <a href=\"#return-footnote-154-35\" class=\"return-footnote\" aria-label=\"Return to footnote 35\">&crarr;<\/a><\/li><li id=\"footnote-154-36\">5%\r\n\r\n <a href=\"#return-footnote-154-36\" class=\"return-footnote\" aria-label=\"Return to footnote 36\">&crarr;<\/a><\/li><li id=\"footnote-154-37\">L = $650.00; D = 34.525%\r\n\r\n <a href=\"#return-footnote-154-37\" class=\"return-footnote\" aria-label=\"Return to footnote 37\">&crarr;<\/a><\/li><li id=\"footnote-154-38\">$152.16, 43.5%\r\n\r\n <a href=\"#return-footnote-154-38\" class=\"return-footnote\" aria-label=\"Return to footnote 38\">&crarr;<\/a><\/li><li id=\"footnote-154-39\">Mfg A: Total discount= 47.864%; Mfg B: Total discount= 52.15% (B is larger)\r\n\r\n <a href=\"#return-footnote-154-39\" class=\"return-footnote\" aria-label=\"Return to footnote 39\">&crarr;<\/a><\/li><li id=\"footnote-154-40\">more than 4.76%\r\n\r\n <a href=\"#return-footnote-154-40\" class=\"return-footnote\" aria-label=\"Return to footnote 40\">&crarr;<\/a><\/li><li id=\"footnote-154-41\">4.8%\r\n\r\n <a href=\"#return-footnote-154-41\" class=\"return-footnote\" aria-label=\"Return to footnote 41\">&crarr;<\/a><\/li><li id=\"footnote-154-42\">33.33%\r\n\r\n <a href=\"#return-footnote-154-42\" class=\"return-footnote\" aria-label=\"Return to footnote 42\">&crarr;<\/a><\/li><li id=\"footnote-154-43\">\r\n<ol type=\"a\">\r\n \t<li>N = $382.50<\/li>\r\n \t<li>23.5%<\/li>\r\n \t<li>4.575%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-43\" class=\"return-footnote\" aria-label=\"Return to footnote 43\">&crarr;<\/a><\/li><li id=\"footnote-154-44\">\r\n<ol type=\"a\">\r\n \t<li>$306<\/li>\r\n \t<li>23.5%<\/li>\r\n \t<li>$d_3 = 8.50%$<\/li>\r\n \t<li>$350<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-44\" class=\"return-footnote\" aria-label=\"Return to footnote 44\">&crarr;<\/a><\/li><li id=\"footnote-154-45\">$70\/bag\r\n\r\n <a href=\"#return-footnote-154-45\" class=\"return-footnote\" aria-label=\"Return to footnote 45\">&crarr;<\/a><\/li><li id=\"footnote-154-46\">\u00a3549.40\r\n\r\n <a href=\"#return-footnote-154-46\" class=\"return-footnote\" aria-label=\"Return to footnote 46\">&crarr;<\/a><\/li><li id=\"footnote-154-47\">0.856959 USD\/quart, so $0.86 USD\/quart\r\n\r\n <a href=\"#return-footnote-154-47\" class=\"return-footnote\" aria-label=\"Return to footnote 47\">&crarr;<\/a><\/li><li id=\"footnote-154-48\"> 1.11 CAD\/can\r\n\r\n <a href=\"#return-footnote-154-48\" class=\"return-footnote\" aria-label=\"Return to footnote 48\">&crarr;<\/a><\/li><li id=\"footnote-154-49\">1.76 USD\/gallon, so cheaper in Canada\r\n\r\n <a href=\"#return-footnote-154-49\" class=\"return-footnote\" aria-label=\"Return to footnote 49\">&crarr;<\/a><\/li><li id=\"footnote-154-50\">0.30 CAD\/Liter\r\n\r\n <a href=\"#return-footnote-154-50\" class=\"return-footnote\" aria-label=\"Return to footnote 50\">&crarr;<\/a><\/li><li id=\"footnote-154-51\">\r\n<table class=\"aligncenter\" style=\"width: 100%\">\r\n<thead>\r\n<tr>\r\n<td><strong>Cost<\/strong><\/td>\r\n<td><strong>Sales Price<\/strong><\/td>\r\n<td><strong>Markup in dollars<\/strong><\/td>\r\n<td><strong>% Markup<\/strong><\/td>\r\n<td><strong>% Margin<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>$125<\/td>\r\n<td>$175<\/td>\r\n<td>$50<\/td>\r\n<td>40%<\/td>\r\n<td>28.57%<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$75<\/td>\r\n<td>$95<\/td>\r\n<td>$20<\/td>\r\n<td>26.67%<\/td>\r\n<td>21.05%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n <a href=\"#return-footnote-154-51\" class=\"return-footnote\" aria-label=\"Return to footnote 51\">&crarr;<\/a><\/li><li id=\"footnote-154-52\">\r\n<ol type=\"a\">\r\n \t<li>Cost = $2,992.50<\/li>\r\n \t<li>10.24%<\/li>\r\n \t<li>9.29%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-52\" class=\"return-footnote\" aria-label=\"Return to footnote 52\">&crarr;<\/a><\/li><li id=\"footnote-154-53\">\r\n<ol type=\"a\">\r\n \t<li>$415.63<\/li>\r\n \t<li>$311.72<\/li>\r\n \t<li>25%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-53\" class=\"return-footnote\" aria-label=\"Return to footnote 53\">&crarr;<\/a><\/li><li id=\"footnote-154-54\">\r\n<ol type=\"a\">\r\n \t<li>$19.50<\/li>\r\n \t<li>$18.75<\/li>\r\n \t<li>$3,090 gross profit, $1,965 net profit<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-54\" class=\"return-footnote\" aria-label=\"Return to footnote 54\">&crarr;<\/a><\/li><li id=\"footnote-154-55\">33.33%\r\n\r\n <a href=\"#return-footnote-154-55\" class=\"return-footnote\" aria-label=\"Return to footnote 55\">&crarr;<\/a><\/li><li id=\"footnote-154-56\">\r\n<ol type=\"a\">\r\n \t<li>C = $250<\/li>\r\n \t<li>S = $300<\/li>\r\n \t<li>% margin = 16.67%<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-56\" class=\"return-footnote\" aria-label=\"Return to footnote 56\">&crarr;<\/a><\/li><li id=\"footnote-154-57\">C = $2,142.86, percent margin= 52.4%\r\n\r\n <a href=\"#return-footnote-154-57\" class=\"return-footnote\" aria-label=\"Return to footnote 57\">&crarr;<\/a><\/li><li id=\"footnote-154-58\">$348.36\r\n\r\n <a href=\"#return-footnote-154-58\" class=\"return-footnote\" aria-label=\"Return to footnote 58\">&crarr;<\/a><\/li><li id=\"footnote-154-59\">Markup = $1,239.13\u00a0 NP= $1,049.13\r\n\r\n <a href=\"#return-footnote-154-59\" class=\"return-footnote\" aria-label=\"Return to footnote 59\">&crarr;<\/a><\/li><li id=\"footnote-154-60\">76.99%\r\n\r\n <a href=\"#return-footnote-154-60\" class=\"return-footnote\" aria-label=\"Return to footnote 60\">&crarr;<\/a><\/li><li id=\"footnote-154-61\">\r\n<ol type=\"a\">\r\n \t<li>$112.50<\/li>\r\n \t<li>$96.00<\/li>\r\n<\/ol>\r\n <a href=\"#return-footnote-154-61\" class=\"return-footnote\" aria-label=\"Return to footnote 61\">&crarr;<\/a><\/li><li id=\"footnote-154-62\">$240.00\r\n\r\n <a href=\"#return-footnote-154-62\" class=\"return-footnote\" aria-label=\"Return to footnote 62\">&crarr;<\/a><\/li><li id=\"footnote-154-63\">$250\r\n\r\n <a href=\"#return-footnote-154-63\" class=\"return-footnote\" aria-label=\"Return to footnote 63\">&crarr;<\/a><\/li><li id=\"footnote-154-64\">$50\r\n\r\n <a href=\"#return-footnote-154-64\" class=\"return-footnote\" aria-label=\"Return to footnote 64\">&crarr;<\/a><\/li><li id=\"footnote-154-65\">C = $7.00,\u00a0 % margin=\u00a0 14\/21 = 66.67%\r\n\r\n <a href=\"#return-footnote-154-65\" class=\"return-footnote\" aria-label=\"Return to footnote 65\">&crarr;<\/a><\/li><li id=\"footnote-154-66\">C = $500, S = $600, % margin = 16.67%\r\n\r\n <a href=\"#return-footnote-154-66\" class=\"return-footnote\" aria-label=\"Return to footnote 66\">&crarr;<\/a><\/li><li id=\"footnote-154-67\">$1,360.00\r\n\r\n <a href=\"#return-footnote-154-67\" class=\"return-footnote\" aria-label=\"Return to footnote 67\">&crarr;<\/a><\/li><li id=\"footnote-154-68\">$72.07\r\n\r\n <a href=\"#return-footnote-154-68\" class=\"return-footnote\" aria-label=\"Return to footnote 68\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":883,"menu_order":13,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-154","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":25,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/154\/revisions"}],"predecessor-version":[{"id":3974,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/154\/revisions\/3974"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/154\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=154"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=154"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=154"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}