{"id":32811,"date":"2025-06-22T18:53:02","date_gmt":"2025-06-22T18:53:02","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32811"},"modified":"2025-06-22T18:53:03","modified_gmt":"2025-06-22T18:53:03","slug":"solve-the-formula","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/solve-the-formula\/","title":{"rendered":"Solve the formula"},"content":{"rendered":"\n<p>Solve the formula c = 1.06p for p, where c is the cost of an item at Shopping City, including tax, and p is the selling price.<\/p>\n\n\n\n<p><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><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<p>To solve the formula <strong>c = 1.06p<\/strong> for <strong>p<\/strong>, follow these steps: c=1.06pc = 1.06pc=1.06p<\/p>\n\n\n\n<p>Divide both sides of the equation by 1.06: p=c1.06p = \\frac{c}{1.06}p=1.06c\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation <\/strong><\/p>\n\n\n\n<p>The formula <strong>c = 1.06p<\/strong> shows the relationship between the selling price <strong>p<\/strong> of an item and its total cost <strong>c<\/strong> at Shopping City, where a 6 percent sales tax is included. The number 1.06 represents the original price (100 percent) plus the 6 percent tax. This equation tells us that when the price of an item is multiplied by 1.06, it gives the final cost the customer pays.<\/p>\n\n\n\n<p>To isolate <strong>p<\/strong> and find out the original price before tax, you need to perform algebraic manipulation. The goal is to get <strong>p<\/strong> alone on one side of the equation. You start by recognizing that <strong>p<\/strong> is being multiplied by 1.06. To reverse this multiplication, you divide both sides of the equation by 1.06.<\/p>\n\n\n\n<p>This gives you: p=c1.06p = \\frac{c}{1.06}p=1.06c\u200b<\/p>\n\n\n\n<p>This new formula allows you to compute the selling price before tax if you are given the final cost including tax. It is useful in real-life situations like budgeting, returns, or determining pre-tax pricing when planning purchases.<\/p>\n\n\n\n<p>For example, if the total cost of an item is 53 dollars, you can find the pre-tax price by substituting into the formula: p=531.06\u224850p = \\frac{53}{1.06} \\approx 50p=1.0653\u200b\u224850<\/p>\n\n\n\n<p>So, the original price before tax was about 50 dollars. The extra 3 dollars accounts for the 6 percent tax added to the purchase.<\/p>\n\n\n\n<p>This method works for any percentage-based tax formula where the cost is calculated by multiplying the price by a number slightly greater than 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-439.jpeg\" alt=\"\" class=\"wp-image-32812\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-439.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-439-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-439-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Solve the formula c = 1.06p for p, where c is the cost of an item at Shopping City, including tax, and p is the selling price. The Correct Answer and Explanation is: Correct Answer: To solve the formula c = 1.06p for p, follow these steps: c=1.06pc = 1.06pc=1.06p Divide both sides of the [&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-32811","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32811","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=32811"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32811\/revisions"}],"predecessor-version":[{"id":32813,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32811\/revisions\/32813"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}