Q. A man has got\u2026\u2026\u2026\u2026\u2026\u2026\u2026..by selling his ancestral property. He divides the money in the ratio 2:2:1. He lends the 1st part to his friend at 10% SI while he invested the 2nd part in the share market where he got some yearly returns which are Rs \u2018X\u2019 more than the return he got from lending to his friend. He invested the remaining amount in a bond where he got\u2026\u2026\u2026..% annual return which is Rs 4000 more than X. Total annual return for the man is Rs 2,04,000. Return from the bond is 24% of the return he got from the share market.<\/p>
A)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 1225000, 4%<\/p>
B)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2000000, 6%<\/b><\/p>
C) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 1500000, 10%<\/p>
D)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 200000, 6%<\/p>
E)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 None of these<\/p>
Sol:<\/p>
Let the man get Rs A by selling his ancestral property. <\/p>
1st part=2\/5*A=0.4A <\/p>
He lends the 1st part to his friend at 10% SI. <\/p>
=> Return from 1st part=10\/100*0.4A=0.04A 2nd part=0.4A <\/p>
2nd part yields yearly returns which is Rs \u2018X\u2019more than the return he got from lending to his <\/p>
friend <\/p>
=> Return from 2nd part=0.04A+X <\/p>
3rd part=0.2A<\/p>
He invested the remaining amount in a bond <\/p>
where he got an annual return which is Rs 4000 <\/p>
more than X <\/p>
=> Return from 3rd part=X+4000 <\/p>
Return from bond is 24% of the return he got <\/p>
from the share market. <\/p>
=> X+4000=0.24(0.04A+X) <\/p>
=> X+4000=0.0096A+0.24X <\/p>
=> 0.76X=0.0096A-4000 <\/p>
=> 0.0096A=0.76X+4000 <\/p>
Also, total annual return for the man is Rs <\/p>
2,04,000 <\/p>
=> 0.04A+0.04A+X+X+4000=204000 <\/p>
=> 0.08A=200000-2X<\/p>
Multiplying both sides by 0.12, we get <\/p>
0.0096A=24000-0.24X <\/p>
=> 0.76X+4000=24000-0.24X <\/p>
=> X=Rs 20000 <\/p>
0.08A=200000-2*20000=160000 <\/p>
=> A= Rs 200000 <\/p>
Investment in 3rd part=1\/5*2000000=Rs 400000 <\/p>
Return from 3rd part=20000+4000=24000 <\/p>
=> % return=24000\/400000=6%<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"
Q. A man has got\u2026\u2026\u2026\u2026\u2026\u2026\u2026..by selling his ancestral property. He divides the money in the ratio 2:2:1. He lends the 1st part to his friend at 10% SI while he invested the 2nd part in the share market where he got some yearly returns which are Rs \u2018X\u2019 more than the return he got from […]<\/p>\n","protected":false},"author":419,"featured_media":162983,"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-162982","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\/162982","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=162982"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162982\/revisions"}],"predecessor-version":[{"id":162984,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162982\/revisions\/162984"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162983"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}