{"id":225690,"date":"2025-06-04T11:41:13","date_gmt":"2025-06-04T11:41:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225690"},"modified":"2025-06-04T11:41:15","modified_gmt":"2025-06-04T11:41:15","slug":"adding-15-percent-of-x-to-x-is-equivalent-to-multiplying-x-by","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/adding-15-percent-of-x-to-x-is-equivalent-to-multiplying-x-by\/","title":{"rendered":"Adding 15 percent of x to x is equivalent to multiplying x by"},"content":{"rendered":"\n<p>Adding 15 percent of x to x is equivalent to multiplying x by<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>Adding 15 percent of xx to xx is equivalent to multiplying xx by <strong>1.15<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To understand why adding 15 percent of a number xx to itself is the same as multiplying it by 1.15, we need to break it down step by step using basic algebra and percentages.<\/p>\n\n\n\n<p><strong>Step 1: Understanding 15 percent of xx:<\/strong><br>Percent means \u201cper hundred,\u201d so 15% of xx is written mathematically as: 15%&nbsp;of&nbsp;x=15100\u00d7x=0.15&#215;15\\% \\text{ of } x = \\frac{15}{100} \\times x = 0.15x<\/p>\n\n\n\n<p><strong>Step 2: Adding 15% of xx to xx:<\/strong><br>This means taking the original xx, and adding 0.15 times xx to it: x+0.15xx + 0.15x<\/p>\n\n\n\n<p>Because both terms contain xx, you can factor it out: x+0.15x=(1+0.15)x=1.15xx + 0.15x = (1 + 0.15)x = 1.15x<\/p>\n\n\n\n<p>So the result of adding 15% of xx to xx is 1.15&#215;1.15x, which is the same as <strong>multiplying xx by 1.15<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Real-Life Example:<\/h3>\n\n\n\n<p>Let\u2019s say x=100x = 100.<br>15% of 100 is: 0.15\u00d7100=150.15 \\times 100 = 15<\/p>\n\n\n\n<p>Adding this to 100 gives: 100+15=115100 + 15 = 115<\/p>\n\n\n\n<p>Alternatively, multiplying 100 by 1.15: 1.15\u00d7100=1151.15 \\times 100 = 115<\/p>\n\n\n\n<p>Both methods give the same result. This shows clearly that adding 15% to a number is the same as multiplying it by 1.15.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>This principle applies to any percentage increase. For example, adding 20% is multiplying by 1.20; adding 50% is multiplying by 1.50, and so on. So, <strong>adding 15 percent of xx to xx is equivalent to multiplying xx by 1.15<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-79.jpeg\" alt=\"\" class=\"wp-image-225691\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Adding 15 percent of x to x is equivalent to multiplying x by The Correct Answer and Explanation is: Correct Answer: Adding 15 percent of xx to xx is equivalent to multiplying xx by 1.15. Explanation To understand why adding 15 percent of a number xx to itself is the same as multiplying it by [&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-225690","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225690","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=225690"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225690\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225690"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225690"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}