A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional of 25% off of 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
A.
$316<\/p>\n\n\n\n
B.
$431<\/p>\n\n\n\n
C.
$451<\/p>\n\n\n\n
D.
$527<\/p>\n\n\n\n
The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To determine the original price of the recliner, let’s denote the original price as ( P ). The recliner is first discounted by 30%, which means the sale price is 70% of the original price. The formula for the sale price ( S ) can be written as:<\/p>\n\n\n\n [ S = P \\times (1 – 0.30) ] Next, the consumer uses a coupon that offers an additional 25% discount on the sale price. This means the final price the consumer pays is 75% of the sale price. Let’s denote the final price as ( F ):<\/p>\n\n\n\n [ F = S \\times (1 – 0.25) ] Substituting the expression for ( S ) into the equation for ( F ):<\/p>\n\n\n\n [ F = (P \\times 0.70) \\times 0.75 ] We know the consumer pays $237, so we set up the equation:<\/p>\n\n\n\n [ P \\times 0.525 = 237 ]<\/p>\n\n\n\n To find ( P ), we solve for ( P ) by dividing both sides by 0.525:<\/p>\n\n\n\n [ P = \\frac{237}{0.525} ] Rounding to the nearest dollar, the original price ( P ) is approximately $452.<\/p>\n\n\n\n Thus, the correct answer is closest to option C:<\/p>\n\n\n\n C. $451<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional of 25% off of 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.$316 B.$431 C.$451 […]<\/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-139250","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139250","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=139250"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139250\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=139250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=139250"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=139250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
[ S = P \\times 0.70 ]<\/p>\n\n\n\n
[ F = S \\times 0.75 ]<\/p>\n\n\n\n
[ F = P \\times 0.70 \\times 0.75 ]
[ F = P \\times 0.525 ]<\/p>\n\n\n\n
[ P \\approx 452.38 ]<\/p>\n\n\n\n