P, Q and R entered into a partnership with an investment of Rs.4500, Rs.6000 and Rs.5000 respectively and after x months, P increased its investment by 20% and Q withdrew Rs.1000 from its investment and at the end of one year, the ratio of the profit obtained by P, Q and R is 72:85:75. Find the value of x.<\/p>\n\n\n\n
a) 6<\/p>\n\n\n\n
b) 4<\/p>\n\n\n\n
c) 9<\/p>\n\n\n\n
d) 8<\/strong><\/p>\n\n\n\n e) None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Profit ratio of P, Q and R = (4500 * x) + (4500 *<\/p>\n\n\n\n 120\/100 * (12 \u2013 x)) : (6000 * x) + (5000 * (12 \u2013 x))<\/p>\n\n\n\n : (5000 * 12) = 4500x + 5400 * (12 \u2013 x) : 6000x +<\/p>\n\n\n\n 60000 \u2013 5000x : 60000 = (4500x + 64800 \u2013<\/p>\n\n\n\n 5400x) : (1000x + 60000) : (60000) = (64800 \u2013<\/p>\n\n\n\n 900x) : (1000x + 60000) : 60000<\/p>\n\n\n\n (64800 \u2013 900x)\/(60000) = 72\/75<\/p>\n\n\n\n (648 \u2013 9x)\/600 = 24\/25<\/p>\n\n\n\n 16200 \u2013 225x = 14400<\/p>\n\n\n\n 1800 = 225x<\/p>\n\n\n\n x = 8<\/p>\n","protected":false},"excerpt":{"rendered":" P, Q and R entered into a partnership with an investment of Rs.4500, Rs.6000 and Rs.5000 respectively and after x months, P increased its investment by 20% and Q withdrew Rs.1000 from its investment and at the end of one year, the ratio of the profit obtained by P, Q and R is 72:85:75. Find […]<\/p>\n","protected":false},"author":419,"featured_media":163606,"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-163605","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\/163605","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=163605"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163605\/revisions"}],"predecessor-version":[{"id":163607,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163605\/revisions\/163607"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163606"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}