The marked price of an article is Rs. 300. It is sold for Rs. 177.84 after giving three successive discounts of 20%, x% and 5%. What is value of x ?<\/p>
A.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>22 <\/b><\/p> B.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>18 <\/p> C.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>24 <\/p> D.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>15<\/p> Sol:<\/p> Given:\u00a0 <\/p> Marked price = Rs.300\u00a0 <\/p> Three discounts = 20%, x% and 5%\u00a0 <\/p> Selling price = Rs.177.84\u00a0 <\/p> Calculation:\u00a0 <\/p> Discounted price = 300 – 177.84 = Rs.122.16\u00a0 <\/p> Single equivalent discount = 100 – 100 \u00d7 (100 – 20)\/100 \u00d7 (100 – x)\/100 \u00d7 (100 – 5)\/100\u00a0 <\/p> = 100 – 100 \u00d7 80\/100 \u00d7 (100 – x)\/100 \u00d7 95\/100\u00a0 <\/p> = 100 – 76 + 0.76x\u00a0 <\/p> = 24 + 0.76x\u00a0 <\/p> Then,\u00a0 <\/p> \u21d2<\/span> 122.16 = 300 \u00d7 (24 + 0.76x)\/100\u00a0 <\/p> \u21d2<\/span> 0.76x = 16.72\u00a0 <\/p> \u21d2<\/span> x = 22\u00a0 <\/p> \u2234<\/span> The value of x is 22.<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":" The marked price of an article is Rs. 300. It is sold for Rs. 177.84 after giving three successive discounts of 20%, x% and 5%. What is value of x ? A.\u00a0\u00a0\u00a0\u00a0\u00a0 22 B.\u00a0\u00a0\u00a0\u00a0\u00a0 18 C.\u00a0\u00a0\u00a0\u00a0\u00a0 24 D.\u00a0\u00a0\u00a0\u00a0\u00a0 15 Sol: Given:\u00a0 Marked price = Rs.300\u00a0 Three discounts = 20%, x% and 5%\u00a0 Selling price = […]<\/p>\n","protected":false},"author":419,"featured_media":163937,"comment_status":"open","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-4)","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-4)","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-4)","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":[5138],"tags":[5139],"class_list":["post-163936","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163936","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=163936"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163936\/revisions"}],"predecessor-version":[{"id":163938,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163936\/revisions\/163938"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163937"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}