Working alone A can do the task in 27 hours and B can do it in 54 hours. Find share if A, B and C get paid Rs. 4,320 for completing the task in 12 hours on which they worked together?<\/p>
a) 1440 Rs.<\/b><\/p>
b) 960 Rs.<\/p>
c) 1920 Rs.<\/p>
d) 1280 Rs.<\/p>
Sol:<\/p>
Let\u2019s take Total task = 108 units (LCM of 27, 54 and 12)\u00a0 <\/p>
\u21d2<\/span> Task completed in 1 hour by A = 108\/27 = 4 units\u00a0 <\/p> \u21d2<\/span> Task completed in 1 hour by B = 108\/54\u00a0= 2 units\u00a0 <\/p> \u21d2<\/span> Task completed in 1 hour by A, B and C together = 108\/12 = 9 units <\/p> \u00a0\u21d2<\/span> Task completed by C in 1 hour will be = 9 – 4 – 2 = 3 units\u00a0 <\/p> \u21d2<\/span> Number of hours C will take to complete the task = Total task\/Task completed in one hour = 108\/3 = 36 hours\u00a0 <\/p> \u21d2<\/span> Ratio of no. of hours taken by A, B and C = 27 : 54 \u2236<\/span> 36 = 3 \u2236<\/span> 6 \u2236<\/span> 4\u00a0 <\/p> \u21d2<\/span> Ratio of efficiencies of A, B and C = 4 : 2 : 3\u00a0 <\/p> Since the amount will be distributed according to efficiency,\u00a0 <\/p> \u2234<\/span> Amount received by C = 3\/9 \u00d7 4320 = Rs. 1440<\/p> 30. <\/p> <\/p>\n","protected":false},"excerpt":{"rendered":" Working alone A can do the task in 27 hours and B can do it in 54 hours. Find share if A, B and C get paid Rs. 4,320 for completing the task in 12 hours on which they worked together? a) 1440 Rs. b) 960 Rs. c) 1920 Rs. d) 1280 Rs. Sol: Let\u2019s […]<\/p>\n","protected":false},"author":419,"featured_media":164909,"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-164908","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\/164908","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=164908"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164908\/revisions"}],"predecessor-version":[{"id":164910,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164908\/revisions\/164910"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164909"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164908"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164908"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}