{"id":46121,"date":"2025-07-01T19:27:13","date_gmt":"2025-07-01T19:27:13","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=46121"},"modified":"2025-07-01T19:27:14","modified_gmt":"2025-07-01T19:27:14","slug":"a-store-is-offering-a-20-percent-discount-on-all-items","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-store-is-offering-a-20-percent-discount-on-all-items\/","title":{"rendered":"A store is offering a 20 percent discount on all items."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A store is offering a 20 percent discount on all items. The price of the hat after the discount is 18 dollars what was the original price<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find the original price of the hat before the discount, we can use the formula for calculating the discounted price:Discounted&nbsp;Price=Original&nbsp;Price\u00d7(1\u2212Discount&nbsp;Percentage)\\text{Discounted Price} = \\text{Original Price} \\times (1 &#8211; \\text{Discount Percentage})Discounted&nbsp;Price=Original&nbsp;Price\u00d7(1\u2212Discount&nbsp;Percentage)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this case:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The discounted price is $18.<\/li>\n\n\n\n<li>The discount percentage is 20%, or 0.20 in decimal form.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So the formula becomes:18=Original&nbsp;Price\u00d7(1\u22120.20)18 = \\text{Original Price} \\times (1 &#8211; 0.20)18=Original&nbsp;Price\u00d7(1\u22120.20)18=Original&nbsp;Price\u00d70.8018 = \\text{Original Price} \\times 0.8018=Original&nbsp;Price\u00d70.80<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To isolate the original price, divide both sides of the equation by 0.80:Original&nbsp;Price=180.80\\text{Original Price} = \\frac{18}{0.80}Original&nbsp;Price=0.8018\u200bOriginal&nbsp;Price=22.50\\text{Original Price} = 22.50Original&nbsp;Price=22.50<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the original price of the hat was $22.50 before the discount.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">When the store applies a 20% discount, you only pay 80% of the original price. To find the original price, we divide the price after the discount ($18) by the remaining percentage (0.80). The result gives us the original price, which in this case is $22.50.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This process is essentially reversing the discount calculation to figure out what the price was before the discount was applied.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-105.jpeg\" alt=\"\" class=\"wp-image-46122\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-105.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-105-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-105-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-105-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A store is offering a 20 percent discount on all items. The price of the hat after the discount is 18 dollars what was the original price The Correct Answer and Explanation is: To find the original price of the hat before the discount, we can use the formula for calculating the discounted price:Discounted&nbsp;Price=Original&nbsp;Price\u00d7(1\u2212Discount&nbsp;Percentage)\\text{Discounted Price} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-46121","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=46121"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46121\/revisions"}],"predecessor-version":[{"id":46123,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46121\/revisions\/46123"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=46121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=46121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=46121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}