{"id":163446,"date":"2024-03-04T15:29:56","date_gmt":"2024-03-04T09:59:56","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163446"},"modified":"2024-03-04T15:29:58","modified_gmt":"2024-03-04T09:59:58","slug":"the-average-number-of-boys-and-girls-in-a-class-is-75-and-the-number-of-boys-and-girls-in-the-class-is-increased-by-20-and-40-respectively","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-average-number-of-boys-and-girls-in-a-class-is-75-and-the-number-of-boys-and-girls-in-the-class-is-increased-by-20-and-40-respectively\/","title":{"rendered":"The average number of boys and girls in a class is 75 and the number of boys and girls in the class is increased by 20% and 40% respectively"},"content":{"rendered":"\n<p> Q. <p class=\"MsoNormal\">The average number of boys and girls in a class is 75 and the number of boys and girls in the class is increased by 20% and 40% respectively. If the total number of students in the class is increased by 40, then find the number of boys in the class initially?<\/p> <p class=\"MsoNormal\">a) 200<\/p> <p class=\"MsoNormal\">b) 150<\/p> <p class=\"MsoNormal\"><b>c) 100<\/b><\/p> <p class=\"MsoNormal\">d) 50<\/p> <p class=\"MsoNormal\">e) None of these<\/p> <p class=\"MsoNormal\">Sol:<\/p> <p class=\"MsoNormal\">The total number students in the class = 75 * 2 = <\/p> <p class=\"MsoNormal\">150<\/p> <p class=\"MsoNormal\">Let the number of boys in the class = x <\/p> <p class=\"MsoNormal\">And the number of girls in the class = 150 \u2013 x <\/p> <p class=\"MsoNormal\">x * 20\/100 + (150 \u2013 x) * 40\/100 = 40 <\/p> <p class=\"MsoNormal\">x\/5 + 60 \u2013 2x\/5 = 40 <\/p> <p class=\"MsoNormal\">x\/5 = 20 <\/p> <p class=\"MsoNormal\">x = 100 <\/p> <p class=\"MsoNormal\">The number of boys in the class initially = 100<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The average number of boys and girls in a class is 75 and the number of boys and girls in the class is increased by 20% and 40% respectively. If the total number of students in the class is increased by 40, then find the number of boys in the class initially? a) 200 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163447,"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-163446","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\/163446","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=163446"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163446\/revisions"}],"predecessor-version":[{"id":163448,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163446\/revisions\/163448"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163447"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163446"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163446"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}