{"id":25194,"date":"2025-06-18T21:29:31","date_gmt":"2025-06-18T21:29:31","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=25194"},"modified":"2025-06-18T21:29:36","modified_gmt":"2025-06-18T21:29:36","slug":"12-is-150-of-what-number","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/12-is-150-of-what-number\/","title":{"rendered":"12 is 150 % of what number"},"content":{"rendered":"\n<p>12 is 150 % of what number<\/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>12 is 150% of <strong>8<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 Words):<\/strong><\/h3>\n\n\n\n<p>This type of problem is a <strong>percentage problem<\/strong> where we are given the <strong>percentage (150%)<\/strong> and the <strong>resulting value (12)<\/strong>, and we are asked to find the <strong>original number<\/strong>.<\/p>\n\n\n\n<p>We can translate the problem \u201c12 is 150% of what number\u201d into a mathematical equation: 12=150%&nbsp;of&nbsp;x12 = 150\\% \\text{ of } x<\/p>\n\n\n\n<p>We know that 150% means <strong>150 per 100<\/strong>, or as a decimal: 150%=150100=1.5150\\% = \\frac{150}{100} = 1.5<\/p>\n\n\n\n<p>So, rewrite the equation: 12=1.5\u00d7x12 = 1.5 \\times x<\/p>\n\n\n\n<p>To solve for xx, divide both sides by 1.5: x=121.5x = \\frac{12}{1.5} x=8x = 8<\/p>\n\n\n\n<p>So, <strong>12 is 150% of 8<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Why This Works:<\/strong><\/h3>\n\n\n\n<p>Percent problems usually follow the formula: Part=Percent\u00d7Whole\\text{Part} = \\text{Percent} \\times \\text{Whole}<\/p>\n\n\n\n<p>Here:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>part<\/strong> is 12<\/li>\n\n\n\n<li>The <strong>percent<\/strong> is 150% or 1.5<\/li>\n\n\n\n<li>The <strong>whole<\/strong> is the unknown number we are solving for<\/li>\n<\/ul>\n\n\n\n<p>Rearranging the formula to solve for the <strong>whole<\/strong>: Whole=PartPercent=121.5=8\\text{Whole} = \\frac{\\text{Part}}{\\text{Percent}} = \\frac{12}{1.5} = 8<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Real-Life Example:<\/strong><\/h3>\n\n\n\n<p>Imagine a price increases by 50%. If the final price is $12 after the increase, then the original price was $8 because $8 increased by 50% becomes $12.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>To find the number when given a percent of it, divide the given value by the decimal form of the percent. In this case, 12 \u00f7 1.5 = 8. Thus, <strong>12 is 150% of 8<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>12 is 150 % of what number The correct answer and explanation is: Correct Answer: 12 is 150% of 8. Explanation (300 Words): This type of problem is a percentage problem where we are given the percentage (150%) and the resulting value (12), and we are asked to find the original number. We can translate [&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-25194","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25194","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=25194"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25194\/revisions"}],"predecessor-version":[{"id":25197,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25194\/revisions\/25197"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}