A person divides a certain amount among his three sons in the ratio of 3 \u2236 4 \u2236 5. If he had divided this amount in the ratio of 1\/3,1\/4,1\/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount.<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
A person divides a certain amount among his three sons in the ratio = 3 \u2236 4 \u2236 5 <\/p>\n\n\n\n
If he had divided this amount in the ratio = 1\/3 \u2236 1\/4 \u2236 1\/5 <\/p>\n\n\n\n
The person who had got the lowest share earlier would get Rs. 1,188 more<\/p>\n\n\n\n
Calculations:<\/p>\n\n\n\n
A person divides a certain amount among his three sons in the ratio = 3 \u2236 4 \u2236 5 <\/p>\n\n\n\n
Let money get by first, second and third son be 3x, 4x and 5x respectively <\/p>\n\n\n\n
Total share = 3x + 4x + 5x = 12x <\/p>\n\n\n\n
Here first son got minimum share i.e 3x <\/p>\n\n\n\n
If person had divided total amount in the ratio = 1\/3 \u2236 1\/4 \u2236 1\/5 <\/p>\n\n\n\n
LCM of 3, 4 and 5 = 60 <\/p>\n\n\n\n
Ratio of First, second and third = (1\/3) \u00d7 60 \u2236 (1\/4) \u00d7 60 \u2236 (1\/5) \u00d7 60 <\/p>\n\n\n\n
\u21d2 20 \u2236 15 \u2236 12 <\/p>\n\n\n\n
Share of first son = (20\/47) \u00d7 Total share <\/p>\n\n\n\n
Share of first son = (20\/47) \u00d7 12x <\/p>\n\n\n\n
\u21d2 240x\/47 <\/p>\n\n\n\n
According to the question <\/p>\n\n\n\n
\u21d2 (240x\/47) \u2013 (3x) = 1188 <\/p>\n\n\n\n
\u21d2 (240x \u2013 141x)\/47 = 1188 <\/p>\n\n\n\n
\u21d2 99x\/47 = 1188 \u21d2 x = 12 \u00d7 47 <\/p>\n\n\n\n
\u21d2 x = 564 <\/p>\n\n\n\n
Total amount = 12x <\/p>\n\n\n\n
\u21d2 12 \u00d7 564 = Rs. 6768<\/p>\n\n\n\n
\u2234 The total amount is Rs. 6768<\/p>\n","protected":false},"excerpt":{"rendered":"
A person divides a certain amount among his three sons in the ratio of 3 \u2236 4 \u2236 5. If he had divided this amount in the ratio of 1\/3,1\/4,1\/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount. Sol: A person divides a certain amount among his […]<\/p>\n","protected":false},"author":419,"featured_media":163977,"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-163976","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\/163976","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=163976"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163976\/revisions"}],"predecessor-version":[{"id":163978,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163976\/revisions\/163978"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163977"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}