{"id":138173,"date":"2024-09-14T07:57:03","date_gmt":"2024-09-14T07:57:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=138173"},"modified":"2024-09-14T07:57:05","modified_gmt":"2024-09-14T07:57:05","slug":"ratio-and-proportion","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/14\/ratio-and-proportion\/","title":{"rendered":"Ratio and Proportion"},"content":{"rendered":"\n<p>Ratio and Proportion: 200: X:: 100: 0.8 (Enter numeric value only.)<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve the ratio and proportion problem ( 200:X::100:0.8 ), we can use the concept of cross-multiplication. Here\u2019s the step-by-step solution:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set up the proportion:<\/strong><br>[<br>\\frac{200}{X} = \\frac{100}{0.8}<br>]<\/li>\n\n\n\n<li><strong>Cross-multiply:<\/strong><br>[<br>200 \\times 0.8 = 100 \\times X<br>]<\/li>\n\n\n\n<li><strong>Calculate ( 200 \\times 0.8 ):<\/strong><br>[<br>200 \\times 0.8 = 160<br>]<\/li>\n\n\n\n<li><strong>Set up the equation from cross-multiplication:<\/strong><br>[<br>160 = 100 \\times X<br>]<\/li>\n\n\n\n<li><strong>Solve for ( X ):<\/strong><br>[<br>X = \\frac{160}{100} = 1.6<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the value of ( X ) is ( 1.6 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In ratio and proportion problems, we use the principle that the cross products of the ratios must be equal. Here\u2019s a more detailed breakdown:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Ratios:<\/strong> Ratios compare two quantities, showing how many times one value is contained in another. The proportion ( 200:X::100:0.8 ) means that the ratio of 200 to X is the same as the ratio of 100 to 0.8.<\/li>\n\n\n\n<li><strong>Setting Up the Proportion:<\/strong> To find the unknown value ( X ), we set up a proportion equation where the cross products of the ratios are equal. This means multiplying the numerator of one ratio by the denominator of the other ratio and vice versa.<\/li>\n\n\n\n<li><strong>Cross-Multiplication:<\/strong> This technique simplifies solving proportions by creating a straightforward equation. Here, ( 200 \\times 0.8 ) equals ( 100 \\times X ), which is then solved for ( X ).<\/li>\n\n\n\n<li><strong>Solving for ( X ):<\/strong> After calculating ( 200 \\times 0.8 = 160 ), we set up the equation ( 160 = 100 \\times X ). By isolating ( X ) by dividing both sides by 100, we find ( X = 1.6 ).<\/li>\n<\/ol>\n\n\n\n<p>This method ensures the ratios are proportionally consistent, making it easier to solve for unknown values in proportional relationships.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ratio and Proportion: 200: X:: 100: 0.8 (Enter numeric value only.) The correct answer and Explanation is : To solve the ratio and proportion problem ( 200:X::100:0.8 ), we can use the concept of cross-multiplication. Here\u2019s the step-by-step solution: Thus, the value of ( X ) is ( 1.6 ). Explanation: In ratio and proportion [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-138173","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=138173"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138173\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=138173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=138173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=138173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}