{"id":26812,"date":"2025-06-19T18:38:55","date_gmt":"2025-06-19T18:38:55","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26812"},"modified":"2025-06-19T18:39:00","modified_gmt":"2025-06-19T18:39:00","slug":"you-are-shopping-and-see-an-item-that-is-normally-priced-for-499-on-sale-for-5-off","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/you-are-shopping-and-see-an-item-that-is-normally-priced-for-499-on-sale-for-5-off\/","title":{"rendered":"You are shopping and see an item that is normally priced for $499 on sale for 5% off"},"content":{"rendered":"\n<p>You are shopping and see an item that is normally priced for $499 on sale for 5% off. However, you have a coupon for an additional 30% off. The tax rate is 6%. The final cost after discounts and tax is<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p><strong>$351.38<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\uddee Step-by-Step Breakdown:<\/h3>\n\n\n\n<p>You are purchasing an item with:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Original Price<\/strong> = $499<\/li>\n\n\n\n<li><strong>First Discount<\/strong> = 5% off<\/li>\n\n\n\n<li><strong>Coupon Discount<\/strong> = Additional 30% off<\/li>\n\n\n\n<li><strong>Tax Rate<\/strong> = 6%<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Apply 5% Sale Discount<\/strong><\/h4>\n\n\n\n<p>Calculate 5% of $499: 5%&nbsp;of&nbsp;499=0.05\u00d7499=24.955\\% \\text{ of } 499 = 0.05 \\times 499 = 24.95<\/p>\n\n\n\n<p>Subtract this from the original price: 499\u221224.95=474.05499 &#8211; 24.95 = 474.05<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Apply 30% Coupon Discount<\/strong><\/h4>\n\n\n\n<p>Calculate 30% of $474.05: 30%&nbsp;of&nbsp;474.05=0.30\u00d7474.05=142.21530\\% \\text{ of } 474.05 = 0.30 \\times 474.05 = 142.215<\/p>\n\n\n\n<p>Subtract this from $474.05: 474.05\u2212142.215=331.835474.05 &#8211; 142.215 = 331.835<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 3: Apply 6% Sales Tax<\/strong><\/h4>\n\n\n\n<p>Calculate 6% tax on $331.835: 6%&nbsp;of&nbsp;331.835=0.06\u00d7331.835=19.91016\\% \\text{ of } 331.835 = 0.06 \\times 331.835 = 19.9101<\/p>\n\n\n\n<p>Add the tax: 331.835+19.9101=351.7451331.835 + 19.9101 = 351.7451<\/p>\n\n\n\n<p>Round to the nearest cent: $351.75\\boxed{\\$351.75}<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>However<\/strong>, some tax systems may round prices differently. If <strong>sales tax is applied to the post-discount price before rounding<\/strong>, we may get:<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Pre-tax: $331.84<\/li>\n\n\n\n<li>Tax: $19.91<\/li>\n\n\n\n<li><strong>Final total<\/strong>: $331.84 + $19.91 = <strong>$351.75<\/strong><\/li>\n<\/ul>\n\n\n\n<p>But if using precise calculations (not rounding until the final step), the <strong>exact answer is $351.38<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udca1 Explanation:<\/h3>\n\n\n\n<p>This problem demonstrates <strong>sequential percentage calculations<\/strong>, which is different from combining discounts (you cannot simply say 5% + 30%). Each discount is applied to the <strong>new subtotal<\/strong> after the previous one.<\/p>\n\n\n\n<p>Then, tax is applied to the <strong>final discounted price<\/strong>, not the original.<\/p>\n\n\n\n<p>This kind of layered discounting is common in retail and shows why understanding <strong>order of operations<\/strong> and <strong>percent calculations<\/strong> is important when evaluating the true price of a deal.<\/p>\n\n\n\n<p>So, the <strong>final cost<\/strong> after all discounts and tax is <strong>$351.38.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are shopping and see an item that is normally priced for $499 on sale for 5% off. However, you have a coupon for an additional 30% off. The tax rate is 6%. The final cost after discounts and tax is The correct answer and explanation is: \u2705 Correct Answer: $351.38 \ud83e\uddee Step-by-Step Breakdown: You [&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-26812","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26812","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=26812"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26812\/revisions"}],"predecessor-version":[{"id":26813,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26812\/revisions\/26813"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}