{"id":188906,"date":"2025-02-08T08:17:48","date_gmt":"2025-02-08T08:17:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=188906"},"modified":"2025-02-08T08:17:50","modified_gmt":"2025-02-08T08:17:50","slug":"drill-problems","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/08\/drill-problems\/","title":{"rendered":"DRILL PROBLEMS"},"content":{"rendered":"\n<p>DRILL PROBLEMS For all problems, round your final answer to the nearest cent. Do not round net price equivalent rates or single equivalent discount rates. Complete the following: LU 7-(4) Net price Single equivalent List Chain equivalent discount rate Trade Net Item price discount rate (in decimals) (in decimals) discount price 7-1. Surface computer $1,200 4\/1 price Actual !=list cost price ea ce retentrate price-tetul to bryer trade discount 115) 7-2. Samsung Blu-Ray player $199 8\/4\/3 8\/4\/3 on $l99 7\/3\/1 7-3. Canon document scanner $269 Net price Trade discos Complete the following: LU 7-(4) Item List price 7-4. Trotter treadmill $3.000 Chain discount 9\/4 $450 8\/5\/6 7-5. Maytag dishwasher 7-6. Sony digital camera $320 3\/5\/9 1-1. Land Rover rock SIMSO 12\/9\/6 7-1. Surface computer $1,200 4\/1 Actual =list cost price trade unt ea ce recent rate price &#8211; Actual Hobryer discount 7-2. Samsung Blu-Ray player $199 8\/4\/3 8\/4\/3 on $199 7-3. Canon document scanner S269 7\/3\/1 Complete the following: LU 7-1(4) Item List price 7-4. Trotter treadmill $3,000 Chain discount Net price Trade discount 9\/4 7-5. Maytag dishwasher $450 8\/5\/6 7-6. Sony digital camera $320 3\/5\/9 7-7. Land Rover roofrack $1.850 12\/9\/6 7-8. Which of the following companies, A or B. gives a higher discount? Use the single equivalent discount rate to make your choice (convert your equivalent rate to the nearest hundredth percent). Company A Company B 8\/10\/15\/3 10\/6\/16\/5 203<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s go through the questions step by step:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">LU 7-(4) Problems<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">7-1. <strong>Surface Computer &#8211; Trade Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $1,200<\/li>\n\n\n\n<li><strong>Trade Discount:<\/strong> 4\/1<\/li>\n<\/ul>\n\n\n\n<p>To calculate the <strong>net price<\/strong> using the trade discount, we apply the discounts sequentially:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 4%. The discounted price is ( 1,200 \\times (1 &#8211; 0.04) = 1,200 \\times 0.96 = 1,152 ).<\/li>\n\n\n\n<li>The second discount is 1%. The price after the second discount is ( 1,152 \\times (1 &#8211; 0.01) = 1,152 \\times 0.99 = 1,137.48 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $1,137.48.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-2. <strong>Samsung Blu-Ray Player &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $199<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 8\/4\/3<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong> using the chain discount, we calculate as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 8%. The discounted price is ( 199 \\times (1 &#8211; 0.08) = 199 \\times 0.92 = 183.08 ).<\/li>\n\n\n\n<li>The second discount is 4%. The price after the second discount is ( 183.08 \\times (1 &#8211; 0.04) = 183.08 \\times 0.96 = 175.35 ).<\/li>\n\n\n\n<li>The third discount is 3%. The price after the third discount is ( 175.35 \\times (1 &#8211; 0.03) = 175.35 \\times 0.97 = 170.60 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $170.60.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-3. <strong>Canon Document Scanner &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $269<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 7\/3\/1<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 7%. The discounted price is ( 269 \\times (1 &#8211; 0.07) = 269 \\times 0.93 = 250.17 ).<\/li>\n\n\n\n<li>The second discount is 3%. The price after the second discount is ( 250.17 \\times (1 &#8211; 0.03) = 250.17 \\times 0.97 = 242.66 ).<\/li>\n\n\n\n<li>The third discount is 1%. The price after the third discount is ( 242.66 \\times (1 &#8211; 0.01) = 242.66 \\times 0.99 = 240.23 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $240.23.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-4. <strong>Trotter Treadmill &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $3,000<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 9\/4<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 9%. The discounted price is ( 3,000 \\times (1 &#8211; 0.09) = 3,000 \\times 0.91 = 2,730 ).<\/li>\n\n\n\n<li>The second discount is 4%. The price after the second discount is ( 2,730 \\times (1 &#8211; 0.04) = 2,730 \\times 0.96 = 2,617.20 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $2,617.20.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-5. <strong>Maytag Dishwasher &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $450<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 8\/5\/6<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 8%. The discounted price is ( 450 \\times (1 &#8211; 0.08) = 450 \\times 0.92 = 414 ).<\/li>\n\n\n\n<li>The second discount is 5%. The price after the second discount is ( 414 \\times (1 &#8211; 0.05) = 414 \\times 0.95 = 393.30 ).<\/li>\n\n\n\n<li>The third discount is 6%. The price after the third discount is ( 393.30 \\times (1 &#8211; 0.06) = 393.30 \\times 0.94 = 369.70 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $369.70.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-6. <strong>Sony Digital Camera &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $320<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 3\/5\/9<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 3%. The discounted price is ( 320 \\times (1 &#8211; 0.03) = 320 \\times 0.97 = 310.40 ).<\/li>\n\n\n\n<li>The second discount is 5%. The price after the second discount is ( 310.40 \\times (1 &#8211; 0.05) = 310.40 \\times 0.95 = 294.88 ).<\/li>\n\n\n\n<li>The third discount is 9%. The price after the third discount is ( 294.88 \\times (1 &#8211; 0.09) = 294.88 \\times 0.91 = 268.55 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $268.55.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">7-7. <strong>Land Rover Roofrack &#8211; Chain Discount<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>List Price:<\/strong> $1,850<\/li>\n\n\n\n<li><strong>Chain Discount:<\/strong> 12\/9\/6<\/li>\n<\/ul>\n\n\n\n<p>To find the <strong>net price<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The first discount is 12%. The discounted price is ( 1,850 \\times (1 &#8211; 0.12) = 1,850 \\times 0.88 = 1,628 ).<\/li>\n\n\n\n<li>The second discount is 9%. The price after the second discount is ( 1,628 \\times (1 &#8211; 0.09) = 1,628 \\times 0.91 = 1,479.48 ).<\/li>\n\n\n\n<li>The third discount is 6%. The price after the third discount is ( 1,479.48 \\times (1 &#8211; 0.06) = 1,479.48 \\times 0.94 = 1,389.23 ).<\/li>\n<\/ol>\n\n\n\n<p>So, the <strong>net price<\/strong> is $1,389.23.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Which Company gives a higher discount?<\/h3>\n\n\n\n<p>To determine which company, A or B, gives a higher discount, we will calculate the <strong>single equivalent discount<\/strong> for both.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Company A (8\/10\/15\/3):<\/h4>\n\n\n\n<p>The <strong>single equivalent discount<\/strong> is calculated as:<br>[<br>1 &#8211; (1 &#8211; 0.08) \\times (1 &#8211; 0.10) \\times (1 &#8211; 0.15) \\times (1 &#8211; 0.03)<br>]<br>[<br>1 &#8211; (0.92 \\times 0.90 \\times 0.85 \\times 0.97) = 1 &#8211; 0.7177 = 0.2823<br>]<br>So, the single equivalent discount for <strong>Company A<\/strong> is <strong>28.23%<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Company B (10\/6\/16\/5):<\/h4>\n\n\n\n<p>The <strong>single equivalent discount<\/strong> is calculated as:<br>[<br>1 &#8211; (1 &#8211; 0.10) \\times (1 &#8211; 0.06) \\times (1 &#8211; 0.16) \\times (1 &#8211; 0.05)<br>]<br>[<br>1 &#8211; (0.90 \\times 0.94 \\times 0.84 \\times 0.95) = 1 &#8211; 0.6851 = 0.3149<br>]<br>So, the single equivalent discount for <strong>Company B<\/strong> is <strong>31.49%<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Conclusion:<\/h4>\n\n\n\n<p><strong>Company B<\/strong> gives a higher discount, with a single equivalent discount of 31.49%, compared to Company A\u2019s 28.23%.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>DRILL PROBLEMS For all problems, round your final answer to the nearest cent. Do not round net price equivalent rates or single equivalent discount rates. Complete the following: LU 7-(4) Net price Single equivalent List Chain equivalent discount rate Trade Net Item price discount rate (in decimals) (in decimals) discount price 7-1. Surface computer $1,200 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-188906","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188906","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=188906"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188906\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=188906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=188906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=188906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}