{"id":225315,"date":"2025-06-04T06:52:35","date_gmt":"2025-06-04T06:52:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225315"},"modified":"2025-06-04T06:52:37","modified_gmt":"2025-06-04T06:52:37","slug":"the-expression-below-represents-the-cost-c-of-an-item-that-is-on-sale-for-25-off","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/the-expression-below-represents-the-cost-c-of-an-item-that-is-on-sale-for-25-off\/","title":{"rendered":"The expression below represents the cost, c, of an item that is on sale for 25% off."},"content":{"rendered":"\n

The expression below represents the cost, c, of an item that is on sale for 25% off.
Which expression is also equivalent to the cost of the item? 0.75c 1 – 0.75c 0.25c 1 – 0.25c<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is: 0.75c<\/strong><\/p>\n\n\n\n

Explanation <\/h3>\n\n\n\n

The original expression given is:
c \u2212 0.25c<\/strong><\/p>\n\n\n\n

This expression represents the cost of an item after a 25% discount<\/strong>. In this case, c<\/em> represents the original price of the item, and 0.25c<\/em> is 25% of that price. When an item is discounted by 25%, you’re paying only the remaining 75% of the original price.<\/p>\n\n\n\n

To simplify the expression: c\u22120.25c=(1\u22120.25)c=0.75cc – 0.25c = (1 – 0.25)c = 0.75c<\/p>\n\n\n\n

So, instead of subtracting 25% of the cost, we can directly multiply the original cost by 0.75. This is a quicker way to compute sale prices: multiplying by the percentage you\u2019re actually paying<\/strong>.<\/p>\n\n\n\n

Now, let’s look at the answer choices:<\/p>\n\n\n\n

    \n
  1. 0.75c<\/strong> \u2013 This is correct. It represents 75% of the original price, which is what you pay after a 25% discount.<\/li>\n\n\n\n
  2. 1 \u2212 0.75c<\/strong> \u2013 This doesn\u2019t make sense in this context. You\u2019re not subtracting 75% of c<\/em> from 1. This expression does not represent the correct discounted price.<\/li>\n\n\n\n
  3. 0.25c<\/strong> \u2013 This represents 25% of the original price, which is the amount of the discount<\/strong>, not the final price paid.<\/li>\n\n\n\n
  4. 1 \u2212 0.25c<\/strong> \u2013 This is also incorrect. Subtracting 0.25c from 1 doesn\u2019t give a meaningful result in terms of finding a sale price.<\/li>\n<\/ol>\n\n\n\n

    In summary, when an item is on sale for 25% off, you pay 75% of the original price. That means you multiply the original cost, c<\/em>, by 0.75. So, the expression 0.75c<\/strong> is equivalent to c \u2212 0.25c<\/strong>, and correctly represents the cost after the discount.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    The expression below represents the cost, c, of an item that is on sale for 25% off.Which expression is also equivalent to the cost of the item? 0.75c 1 – 0.75c 0.25c 1 – 0.25c The Correct Answer and Explanation is: The correct answer is: 0.75c Explanation The original expression given is:c \u2212 0.25c This […]<\/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-225315","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225315","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=225315"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225315\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}