{"id":260279,"date":"2025-07-19T10:45:42","date_gmt":"2025-07-19T10:45:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=260279"},"modified":"2025-07-19T10:45:44","modified_gmt":"2025-07-19T10:45:44","slug":"find-the-cost-and-markup-price-with-the-selling-price-of-73-99-and-the-markup-rate-of-85-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/find-the-cost-and-markup-price-with-the-selling-price-of-73-99-and-the-markup-rate-of-85-4\/","title":{"rendered":"Find the cost and markup price with the selling price of $73.99 and the markup rate of 85.4%"},"content":{"rendered":"\n

Find the cost and markup price with the selling price of $73.99 and the markup rate of 85.4%<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the cost and markup price, let’s break this down.<\/p>\n\n\n\n

Formulae<\/h3>\n\n\n\n
    \n
  1. Selling Price (SP) = Cost (C) + Markup Price (MP)<\/strong><\/li>\n\n\n\n
  2. Markup Price (MP) = Cost \u00d7 Markup Rate<\/strong><\/li>\n\n\n\n
  3. Selling Price (SP) = Cost \u00d7 (1 + Markup Rate)<\/strong><\/li>\n<\/ol>\n\n\n\n

    Given:<\/p>\n\n\n\n

      \n
    • Selling Price (SP) = $73.99<\/strong><\/li>\n\n\n\n
    • Markup Rate = 85.4%<\/strong> (which we convert to decimal form: 0.854)<\/li>\n<\/ul>\n\n\n\n

      Step 1: Calculate the Cost<\/h3>\n\n\n\n

      From the formula: SP=C\u00d7(1+Markup Rate)SP = C \\times (1 + \\text{Markup Rate})<\/p>\n\n\n\n

      Substitute the values: 73.99=C\u00d7(1+0.854)73.99 = C \\times (1 + 0.854) 73.99=C\u00d71.85473.99 = C \\times 1.854<\/p>\n\n\n\n

      To find C<\/strong> (the cost), divide both sides by 1.854: C=73.991.854\u224839.92C = \\frac{73.99}{1.854} \\approx 39.92<\/p>\n\n\n\n

      So, the cost<\/strong> of the item is approximately $39.92<\/strong>.<\/p>\n\n\n\n

      Step 2: Calculate the Markup Price<\/h3>\n\n\n\n

      Now that we know the cost, we can calculate the markup price<\/strong>: MP=C\u00d7Markup RateMP = C \\times \\text{Markup Rate} MP=39.92\u00d70.854\u224834.12MP = 39.92 \\times 0.854 \\approx 34.12<\/p>\n\n\n\n

      So, the markup price<\/strong> is approximately $34.12<\/strong>.<\/p>\n\n\n\n

      Summary<\/h3>\n\n\n\n
        \n
      • The cost<\/strong> of the item is approximately $39.92<\/strong>.<\/li>\n\n\n\n
      • The markup price<\/strong> is approximately $34.12<\/strong>.<\/li>\n<\/ul>\n\n\n\n

        This means the item was originally purchased at $39.92, and the markup (or profit added on top) is $34.12, resulting in the final selling price of $73.99.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Find the cost and markup price with the selling price of $73.99 and the markup rate of 85.4% The correct answer and explanation is: To find the cost and markup price, let’s break this down. Formulae Given: Step 1: Calculate the Cost From the formula: SP=C\u00d7(1+Markup Rate)SP = C \\times (1 + \\text{Markup Rate}) Substitute the […]<\/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-260279","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260279","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=260279"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260279\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}