Sunil invested Rs. x in scheme A at a rate of 15% per annum for 2 years at Simple Interest and invested Rs. (x + 500) in scheme B at the rate of 12% per annum for 2years at simple Interest. If the total interest received by him at the end of 2 years is Rs. 4224 then find the value of x.<\/p>
A.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>7600<\/b><\/p> B.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>1275<\/p> C.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>4343<\/p> D.\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span>3435<\/p> Sol:<\/p> Amount invested by Sunil in scheme A = x\u00a0 <\/p> Amount invested by Sunil in scheme B = x + 500\u00a0 <\/p> Rate of interest in scheme A = 15% per annum\u00a0 <\/p> Rate of interest in scheme B = 12% per annum\u00a0 <\/p> Total interest received after 2 years = 4224<\/p> Formula:<\/p> Total interest = Interest received in scheme A + Interest received in scheme B<\/p> Calculations:<\/p> Total interest = {(x \u00d7 15 \u00d7 2)\/100} + [{(x + 500) \u00d7 12 \u00d7 2}\/100] = 4224\u00a0 <\/p> \u21d2<\/span> {30x\/100} + [{24x + 12000}\/100] = 4224\u00a0 <\/p> \u21d2<\/span> {30x\/100} + {24x\/100} = 4224 \u2013 120\u00a0 <\/p> \u21d2<\/span> 54x\/100 = 4104\u00a0 <\/p> \u21d2<\/span> x = 410400\/54\u00a0 <\/p> \u21d2<\/span> x = 7600\u00a0 <\/p> \u2234<\/span> The value of x is 7600.<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":" Sunil invested Rs. x in scheme A at a rate of 15% per annum for 2 years at Simple Interest and invested Rs. (x + 500) in scheme B at the rate of 12% per annum for 2years at simple Interest. If the total interest received by him at the end of 2 years is […]<\/p>\n","protected":false},"author":419,"featured_media":163915,"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-163914","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\/163914","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=163914"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163914\/revisions"}],"predecessor-version":[{"id":163916,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163914\/revisions\/163916"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163915"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}