{"id":144767,"date":"2024-09-25T11:38:18","date_gmt":"2024-09-25T11:38:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144767"},"modified":"2024-09-25T11:38:20","modified_gmt":"2024-09-25T11:38:20","slug":"a-car-normally-sells-for-20000-is-on-sale-for-16000","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/25\/a-car-normally-sells-for-20000-is-on-sale-for-16000\/","title":{"rendered":"A car normally sells for $20,000 is on sale for $16,000."},"content":{"rendered":"\n<p>A car normally sells for $20,000 is on sale for $16,000. The sales tax is 7.5%.<br>What percent of the original price of the car is the final price?<\/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 car originally costs $20,000, and after a discount, it sells for $16,000. To find the final price, including sales tax, we need to calculate the 7.5% sales tax on the discounted price of $16,000.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the sales tax.<\/h3>\n\n\n\n<p>The sales tax is 7.5% of $16,000. To find this:Sales&nbsp;tax=16,000\u00d77.5100=16,000\u00d70.075=1,200\\text{Sales tax} = 16,000 \\times \\frac{7.5}{100} = 16,000 \\times 0.075 = 1,200Sales&nbsp;tax=16,000\u00d71007.5\u200b=16,000\u00d70.075=1,200<\/p>\n\n\n\n<p>So, the sales tax is $1,200.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the final price.<\/h3>\n\n\n\n<p>The final price of the car, after adding the sales tax, is:Final&nbsp;price=16,000+1,200=17,200\\text{Final price} = 16,000 + 1,200 = 17,200Final&nbsp;price=16,000+1,200=17,200<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Find the percentage of the original price.<\/h3>\n\n\n\n<p>Now, we need to determine what percent of the original price ($20,000) the final price ($17,200) is. To do this, we use the formula for percentage:Percent&nbsp;of&nbsp;original&nbsp;price=(Final&nbsp;priceOriginal&nbsp;price)\u00d7100\\text{Percent of original price} = \\left( \\frac{\\text{Final price}}{\\text{Original price}} \\right) \\times 100Percent&nbsp;of&nbsp;original&nbsp;price=(Original&nbsp;priceFinal&nbsp;price\u200b)\u00d7100<\/p>\n\n\n\n<p>Substitute the values:Percent&nbsp;of&nbsp;original&nbsp;price=(17,20020,000)\u00d7100=0.86\u00d7100=86%\\text{Percent of original price} = \\left( \\frac{17,200}{20,000} \\right) \\times 100 = 0.86 \\times 100 = 86\\%Percent&nbsp;of&nbsp;original&nbsp;price=(20,00017,200\u200b)\u00d7100=0.86\u00d7100=86%<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The final price of the car, after applying the discount and the sales tax, is 86% of the original price.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When calculating percentages in real-life scenarios, it&#8217;s important to understand the difference between the original cost, discounted price, and how taxes are applied. In this case, the $16,000 price tag reflects a discount from the original $20,000 price. Once the sales tax is added, the total cost becomes $17,200. By comparing this total cost to the original price, you can determine that the final price is 86% of the original price. This kind of calculation is useful for understanding how discounts and taxes affect the overall cost of a purchase.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A car normally sells for $20,000 is on sale for $16,000. The sales tax is 7.5%.What percent of the original price of the car is the final price? The Correct answer and Explanation is: The car originally costs $20,000, and after a discount, it sells for $16,000. To find the final price, including sales tax, [&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-144767","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144767","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=144767"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144767\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144767"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144767"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144767"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}