{"id":136833,"date":"2024-09-11T10:46:35","date_gmt":"2024-09-11T10:46:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=136833"},"modified":"2024-09-11T10:46:36","modified_gmt":"2024-09-11T10:46:36","slug":"a-leather-recliner-is-on-sale-for-30-less-than-its-original-price","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/11\/a-leather-recliner-is-on-sale-for-30-less-than-its-original-price\/","title":{"rendered":"A leather recliner is on sale for 30% less than its original price"},"content":{"rendered":"\n<p>A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that serves an additional 25% off the sale price. If the consumer pays $ 237 for the recliner, which of the following is the original price of the recliner to the nearest dollar?<\/p>\n\n\n\n<p>A.<br>$527<\/p>\n\n\n\n<p>B.<br>$316<\/p>\n\n\n\n<p>C.<br>$432<\/p>\n\n\n\n<p>D.<br>$451<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is :<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the original price of the leather recliner, we need to backtrack from the final price paid by the consumer, which is $237. The process involves working through the discount percentages to find the original price.<\/p>\n\n\n\n<p>Let&#8217;s denote the original price of the recliner as PPP.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Applying the First Discount:<\/strong> The recliner is on sale for 30% less than its original price. This means the sale price is 70% of the original price. Therefore, the sale price can be expressed as:Sale\u00a0Price=0.70\u00d7P\\text{Sale Price} = 0.70 \\times PSale\u00a0Price=0.70\u00d7P<\/li>\n\n\n\n<li><strong>Applying the Second Discount:<\/strong> The consumer has a coupon for an additional 25% off the sale price. Thus, the final price is 75% of the sale price. Therefore, the final price can be expressed as:Final\u00a0Price=0.75\u00d7(Sale\u00a0Price)\\text{Final Price} = 0.75 \\times (\\text{Sale Price})Final\u00a0Price=0.75\u00d7(Sale\u00a0Price)Substituting the expression for the sale price:Final\u00a0Price=0.75\u00d7(0.70\u00d7P)\\text{Final Price} = 0.75 \\times (0.70 \\times P)Final\u00a0Price=0.75\u00d7(0.70\u00d7P)Simplifying this, we get:Final\u00a0Price=0.75\u00d70.70\u00d7P=0.525\u00d7P\\text{Final Price} = 0.75 \\times 0.70 \\times P = 0.525 \\times PFinal\u00a0Price=0.75\u00d70.70\u00d7P=0.525\u00d7P<\/li>\n\n\n\n<li><strong>Solving for the Original Price:<\/strong> We know that the final price paid by the consumer is $237. Therefore:0.525\u00d7P=2370.525 \\times P = 2370.525\u00d7P=237Solving for PPP:P=2370.525\u2248452.57P = \\frac{237}{0.525} \\approx 452.57P=0.525237\u200b\u2248452.57Rounding this value to the nearest dollar gives us an original price of approximately $453.<\/li>\n<\/ol>\n\n\n\n<p>Among the provided options, the closest value to this is:<\/p>\n\n\n\n<p><strong>D. $451<\/strong><\/p>\n\n\n\n<p>Thus, the original price of the recliner to the nearest dollar is $451.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that serves an additional 25% off the sale price. If the consumer pays $ 237 for the recliner, which of the following is the original price of the recliner to the nearest dollar? A.$527 B.$316 C.$432 D.$451 [&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-136833","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136833","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=136833"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136833\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=136833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=136833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=136833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}