Q. A gambler won Rs. X in gambling. He decided to save 33.33\u2105 of the amount. And then he invested 50\u2105 of the remaining amount in a bank that offers compound interest of 20\u2105 for 1 year and the interest is calculated on a half-yearly basis. After that, he started a business with the remaining amount with his friend. The investment of his friend is Rs. 1000 more than him in the business and the duration is the whole year. After 6 months he invested an additional 0.1x in a business which is the interest received from the bank. At the end of the year, a gambler received a profit which is 90.09% more than the amount received from the bank. If the total profit from the business is Rs.63500. find the amount he received from the business?<\/p>\n\n\n\n
A. Rs.32000<\/p>\n\n\n\n
B. Rs.31500<\/p>\n\n\n\n
C. Rs.33000<\/p>\n\n\n\n
D. Can\u2019t be determined<\/strong><\/p>\n\n\n\n E. None of these<\/p>\n\n\n\n Let us assume the gambler won = Rs.3X<\/p>\n\n\n\n He saved =1\/3 of (3X)<\/p>\n\n\n\n He deposited 1\/2 of (2X) In a bank.<\/p>\n\n\n\n And he invested remaining 1\/2 of (2X) in a<\/p>\n\n\n\n business<\/p>\n\n\n\n He received 10\u2105 of X for the first 6 months and<\/p>\n\n\n\n 10\u2105 of X received for the next 6 months<\/p>\n\n\n\n In a business,<\/p>\n\n\n\n He invested Rs. X for the first 6 months and then<\/p>\n\n\n\n he added the interest received from the bank<\/p>\n\n\n\n 0.1x for the second next 6 months and his friend<\/p>\n\n\n\n invested Rs. X+1000 for the whole year<\/p>\n\n\n\n X * 6 + 1.1 X * 6 = 12.6 X<\/p>\n\n\n\n (2x + 1000)* 12 = 24 X<\/p>\n\n\n\n 12.6X: 24X + 12000<\/p>\n\n\n\n The total profit received is Rs.63500<\/p>\n\n\n\n We cannot split the profit as per their investment<\/p>\n\n\n\n So, it is cannot be determined<\/p>\n","protected":false},"excerpt":{"rendered":" Q. A gambler won Rs. X in gambling. He decided to save 33.33\u2105 of the amount. And then he invested 50\u2105 of the remaining amount in a bank that offers compound interest of 20\u2105 for 1 year and the interest is calculated on a half-yearly basis. After that, he started a business with the remaining […]<\/p>\n","protected":false},"author":419,"featured_media":162934,"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-162933","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\/162933","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=162933"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162933\/revisions"}],"predecessor-version":[{"id":162935,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162933\/revisions\/162935"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162934"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}