{"id":34937,"date":"2025-06-24T04:08:07","date_gmt":"2025-06-24T04:08:07","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=34937"},"modified":"2025-06-24T04:08:08","modified_gmt":"2025-06-24T04:08:08","slug":"net-price-equivalent-rate-in-decimals-single-equivalent-discount-rate-in-decimals-0-8302-0-1698-chain-discount-item-lg-blu-ray-player-list-price-trade-discount-net-price-198-8-6-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/net-price-equivalent-rate-in-decimals-single-equivalent-discount-rate-in-decimals-0-8302-0-1698-chain-discount-item-lg-blu-ray-player-list-price-trade-discount-net-price-198-8-6-4\/","title":{"rendered":"Net price equivalent rate (in decimals) Single equivalent discount rate (in decimals) 0.8302 0.1698 Chain discount Item LG Blu-Ray player List price Trade discount Net price 198 8\/6\/4"},"content":{"rendered":"\n<p>Net price equivalent rate (in decimals) Single equivalent discount rate (in decimals) 0.8302 0.1698 Chain discount Item LG Blu-Ray player List price Trade discount Net price 198 8\/6\/4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the given problem, we need to calculate the <strong>net price<\/strong> of the LG Blu-Ray player after applying a <strong>chain discount<\/strong> of 8\/6\/4 to the list price of <strong>$198<\/strong>, and also determine the <strong>net price equivalent rate<\/strong> and the <strong>single equivalent discount rate<\/strong> in <strong>decimal<\/strong> form.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Understand the Discounts<\/strong><\/h3>\n\n\n\n<p>A <strong>chain discount<\/strong> of 8\/6\/4 means three successive discounts are applied to the list price:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First discount: 8%<\/li>\n\n\n\n<li>Second discount: 6%<\/li>\n\n\n\n<li>Third discount: 4%<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Convert Discounts to Multipliers<\/strong><\/h3>\n\n\n\n<p>To find the net price, convert each percentage discount to a decimal multiplier:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First multiplier: 1 \u2212 0.08 = <strong>0.92<\/strong><\/li>\n\n\n\n<li>Second multiplier: 1 \u2212 0.06 = <strong>0.94<\/strong><\/li>\n\n\n\n<li>Third multiplier: 1 \u2212 0.04 = <strong>0.96<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Multiply the Discounts<\/strong><\/h3>\n\n\n\n<p>Multiply the three multipliers to get the <strong>net price equivalent rate<\/strong>:0.92\u00d70.94\u00d70.96=0.83020.92 \\times 0.94 \\times 0.96 = 0.83020.92\u00d70.94\u00d70.96=0.8302<\/p>\n\n\n\n<p>This value is the <strong>net price equivalent rate in decimal form<\/strong>. It represents the fraction of the list price the buyer will actually pay after all discounts.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Find the Net Price<\/strong><\/h3>\n\n\n\n<p>Multiply the net price equivalent rate by the list price:198\u00d70.8302=164.38198 \\times 0.8302 = 164.38198\u00d70.8302=164.38<\/p>\n\n\n\n<p>So the <strong>net price<\/strong> is <strong>$164.38<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 5: Find the Single Equivalent Discount Rate<\/strong><\/h3>\n\n\n\n<p>This is simply:1\u2212Net&nbsp;Price&nbsp;Equivalent&nbsp;Rate=1\u22120.8302=0.16981 \u2212 \\text{Net Price Equivalent Rate} = 1 \u2212 0.8302 = 0.16981\u2212Net&nbsp;Price&nbsp;Equivalent&nbsp;Rate=1\u22120.8302=0.1698<\/p>\n\n\n\n<p>So the <strong>single equivalent discount rate in decimals<\/strong> is <strong>0.1698<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answers<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Net price equivalent rate (decimal):<\/strong> 0.8302<\/li>\n\n\n\n<li><strong>Single equivalent discount rate (decimal):<\/strong> 0.1698<\/li>\n\n\n\n<li><strong>Net price:<\/strong> $164.38<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 Words)<\/strong><\/h3>\n\n\n\n<p>A chain discount is a series of percentage discounts applied one after the other to a product&#8217;s list price. It is commonly used in wholesale and retail pricing. In this case, the LG Blu-Ray player has a list price of $198 and a chain discount of 8%, 6%, and 4%.<\/p>\n\n\n\n<p>To find the total impact of these successive discounts, we must apply each one as a percentage off of the remaining price after the previous discount. This is different from simply adding the discount percentages together, because each discount is calculated on a different reduced base.<\/p>\n\n\n\n<p>The easiest way to handle this is to convert each percentage into a decimal multiplier. For example, an 8% discount becomes 0.92, meaning the buyer pays 92% of the price after that discount. We repeat this process for the 6% and 4% discounts, using 0.94 and 0.96 respectively.<\/p>\n\n\n\n<p>By multiplying all three decimal multipliers together, we get the <strong>net price equivalent rate<\/strong>\u2014this tells us what portion of the original price the buyer pays after all discounts. Multiplying this rate by the list price gives us the final <strong>net price<\/strong> the buyer pays.<\/p>\n\n\n\n<p>The <strong>single equivalent discount rate<\/strong> is the total reduction from the original price. It is calculated by subtracting the net price equivalent rate from 1. This gives a clear understanding of how much total discount the customer receives, expressed as a single percentage.<\/p>\n\n\n\n<p>This method is useful for simplifying complex discount chains and is widely used in business and accounting to evaluate final prices and profitability.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-601.jpeg\" alt=\"\" class=\"wp-image-34938\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-601.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-601-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-601-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Net price equivalent rate (in decimals) Single equivalent discount rate (in decimals) 0.8302 0.1698 Chain discount Item LG Blu-Ray player List price Trade discount Net price 198 8\/6\/4 The Correct Answer and Explanation is: To solve the given problem, we need to calculate the net price of the LG Blu-Ray player after applying a chain [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-34937","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34937","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=34937"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34937\/revisions"}],"predecessor-version":[{"id":34939,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34937\/revisions\/34939"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=34937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=34937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=34937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}