Q. Ratio of A\u2019s age 8 years after to present age of B is 3: 5 and B\u2019s present age is 25% of C\u2019s age after 15 years. After 4 years A\u2019s age is 12.5% of D\u2019s age after 4 years. If the sum of the ages of A, B, C and D after 1 year is 101, then what is the present age of B?<\/p>\n\n\n\n
A. 18 years<\/span><\/p>\n\n\n\n B. 15 years<\/span><\/p>\n\n\n\n C. 12 years<\/p>\n\n\n\n D. 14 Years<\/p>\n\n\n\n Ans: 15 years<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n (A +8)\/B = 3\/5 A +(20A +115)\/3+(5A +40)\/3+ (8A +28) = 97 Q. Ratio of A\u2019s age 8 years after to present age of B is 3: 5 and B\u2019s present age is 25% of C\u2019s age after 15 years. After 4 years A\u2019s age is 12.5% of D\u2019s age after 4 years. If the sum of the ages of A, B, C and D after 1 […]<\/p>\n","protected":false},"author":419,"featured_media":162635,"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-162634","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\/162634","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=162634"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162634\/revisions"}],"predecessor-version":[{"id":162636,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162634\/revisions\/162636"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162635"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162634"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162634"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162634"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
B =25\/100* (C +15)
(D+4)*12.5\/100= (A +4)
5 A +40 = 3B
B =(5A +40)\/3
B = 25\/100 * (C +15)
(5A + 40)\/3 = 1\/4* (C+15)
20A +160 = 3C+45
(20A +115) = 3C
C = (20A + 115)\/3
(D+4) 12.5\/100 = (A +4) (D +4)<\/em>1\/8 = (A +4)
D +4 = 8A +32
D = 8A + 28
Total age of all four together after one year
(A +1)+ (C +1)+ (B +1)+ (D +1) = 101
A + B + C + D = 97<\/p>\n\n\n\n
52A = 291-239
A = 1
B = (5A + 40)\/3
Present age of B = (5(1) + 40)\/3
=15 years.<\/p>\n\n\n\n<\/ol>\n\n\n\n
<\/ol>\n","protected":false},"excerpt":{"rendered":"