{"id":27485,"date":"2025-06-19T23:16:20","date_gmt":"2025-06-19T23:16:20","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=27485"},"modified":"2025-06-19T23:16:21","modified_gmt":"2025-06-19T23:16:21","slug":"a-manufacturer-offers-a-11-discount-on-the-marked-price-of-a-product","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-manufacturer-offers-a-11-discount-on-the-marked-price-of-a-product\/","title":{"rendered":"A manufacturer offers a 11% discount on the marked price of a product"},"content":{"rendered":"\n<p>A manufacturer offers a 11% discount on the marked price of a product. The retailer offers another 20% on the reduced price. By what single number would you need to multiply the marked price to get the retail price of the product?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer: 0.712<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step-by-Step Explanation:<\/strong><\/h3>\n\n\n\n<p>When multiple percentage discounts are applied sequentially, we can calculate the final price as a <strong>fraction of the original (marked) price<\/strong> by multiplying the two discounts together in decimal form.<\/p>\n\n\n\n<p>Let\u2019s walk through it:<\/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: First Discount (Manufacturer\u2019s Discount)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Manufacturer offers an <strong>11% discount<\/strong> on the <strong>marked price<\/strong>.<\/li>\n\n\n\n<li>This means the customer now pays <strong>89%<\/strong> of the marked price: New\u00a0price\u00a0after\u00a0first\u00a0discount=100%\u221211%=89%=0.89\\text{New price after first discount} = 100\\% &#8211; 11\\% = 89\\% = 0.89<\/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: Second Discount (Retailer\u2019s Discount)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Retailer offers a <strong>20% discount<\/strong> on the <strong>already reduced price<\/strong>.<\/li>\n\n\n\n<li>The customer now pays <strong>80%<\/strong> of this reduced price: New\u00a0price\u00a0after\u00a0second\u00a0discount=100%\u221220%=80%=0.80\\text{New price after second discount} = 100\\% &#8211; 20\\% = 80\\% = 0.80<\/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: Combine the Two Discounts<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the two decimal values: Final\u00a0Price=0.89\u00d70.80=0.712\\text{Final Price} = 0.89 \\times 0.80 = 0.712<\/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>Conclusion:<\/strong><\/h3>\n\n\n\n<p>The <strong>retail price<\/strong> is <strong>71.2%<\/strong> of the marked price.<br>Thus, to get the final retail price from the marked price directly, you <strong>multiply the marked price by<\/strong>: 0.712\\boxed{0.712}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Interpretation:<\/strong><\/h3>\n\n\n\n<p>This number, <strong>0.712<\/strong>, is a <strong>single multiplier<\/strong> that reflects the <strong>combined effect<\/strong> of two successive discounts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first discount brings down the price a little,<\/li>\n\n\n\n<li>Then the second discount cuts that already-reduced price further.<\/li>\n<\/ul>\n\n\n\n<p>This kind of problem is common in real-world pricing scenarios like store sales or bulk discounts, and understanding how to combine discounts using multiplication helps avoid mistakes like adding them directly (which would give a wrong result of 31% discount instead of the true 28.8% discount represented by 0.712).<\/p>\n\n\n\n<p><a href=\"https:\/\/www.numerade.com\/ask\/question\/a-manufacturer-offers-a-11-discount-on-the-marked-price-of-a-product-the-retailer-offers-another-20-on-the-reduced-price-by-what-single-number-would-you-need-to-multiply-the-marked-price-to--45999\/\" target=\"_blank\" rel=\"noopener\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A manufacturer offers a 11% discount on the marked price of a product. The retailer offers another 20% on the reduced price. By what single number would you need to multiply the marked price to get the retail price of the product? The correct answer and explanation is: Correct Answer: 0.712 Step-by-Step Explanation: When multiple [&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-27485","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27485","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=27485"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27485\/revisions"}],"predecessor-version":[{"id":27486,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27485\/revisions\/27486"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}