{"id":167795,"date":"2024-11-16T07:40:21","date_gmt":"2024-11-16T07:40:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167795"},"modified":"2024-11-16T07:40:28","modified_gmt":"2024-11-16T07:40:28","slug":"solve-this-problem-and-identify-the-percent-amount-and-base","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/solve-this-problem-and-identify-the-percent-amount-and-base\/","title":{"rendered":"Solve this problem, and identify the percent, amount, and base."},"content":{"rendered":"\n<p>Solve this problem, and identify the percent, amount, and base.<br>What percent of 60 is 45?<br>A. Percent = 75, Amount = 45, Base = 60<br>B. Percent = 75, Amour = 60, Base = 45<br>C. Percent = 60, Amount = 27, Base = 45<br>D. Percent = 45, Amount =27, Base = 60<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The problem asks: &#8220;What percent of 60 is 45?&#8221; To solve this, we need to determine the <strong>percent<\/strong>, <strong>amount<\/strong>, and <strong>base<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the formula<\/strong>:<br>To find the percent, we use the formula for percent calculation:<br>[<br>\\text{Percent} = \\left( \\frac{\\text{Amount}}{\\text{Base}} \\right) \\times 100<br>]<\/li>\n\n\n\n<li><strong>Define the terms<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Amount<\/strong>: The part of the base we are interested in. In this case, the <strong>Amount<\/strong> is 45.<\/li>\n\n\n\n<li><strong>Base<\/strong>: The total or whole from which the amount is taken. Here, the <strong>Base<\/strong> is 60.<\/li>\n\n\n\n<li><strong>Percent<\/strong>: The percentage we are trying to find.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute the known values into the formula<\/strong>:<br>Using the formula for percent:<br>[<br>\\text{Percent} = \\left( \\frac{45}{60} \\right) \\times 100<br>]<\/li>\n\n\n\n<li><strong>Perform the division<\/strong>:<br>[<br>\\frac{45}{60} = 0.75<br>]<\/li>\n\n\n\n<li><strong>Convert to a percentage<\/strong>:<br>Multiply 0.75 by 100:<br>[<br>0.75 \\times 100 = 75<br>]<\/li>\n<\/ol>\n\n\n\n<p>So, <strong>75%<\/strong> of 60 is 45.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The correct answer is:<br><strong>A. Percent = 75, Amount = 45, Base = 60<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of Percent, Amount, and Base:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Percent<\/strong> refers to the proportion out of 100. In this case, 75% means that 45 is 75% of 60.<\/li>\n\n\n\n<li><strong>Amount<\/strong> is the value we are comparing to the base. Here, 45 is the amount that is being measured.<\/li>\n\n\n\n<li><strong>Base<\/strong> is the total or whole value, from which the amount is derived. In this case, 60 is the base.<\/li>\n<\/ul>\n\n\n\n<p>This problem illustrates how to find the percentage using the ratio of the amount to the base, and then multiplying by 100 to express the result as a percentage.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve this problem, and identify the percent, amount, and base.What percent of 60 is 45?A. Percent = 75, Amount = 45, Base = 60B. Percent = 75, Amour = 60, Base = 45C. Percent = 60, Amount = 27, Base = 45D. Percent = 45, Amount =27, Base = 60 The Correct Answer and Explanation [&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-167795","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167795","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=167795"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167795\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}