{"id":30106,"date":"2025-06-21T16:28:13","date_gmt":"2025-06-21T16:28:13","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=30106"},"modified":"2025-06-21T16:28:15","modified_gmt":"2025-06-21T16:28:15","slug":"16-of-50-is-what-percent-of-20-of-401-12-1003-594-64-5-75","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/16-of-50-is-what-percent-of-20-of-401-12-1003-594-64-5-75\/","title":{"rendered":"16% of 50% is what percent of 20% of 40%1) 1%2) 100%3) 59%4) 64%.5) 75%"},"content":{"rendered":"\n<p>16% of 50% is what percent of 20% of 40%1) 1%2) 100%3) 59%4) 64%.5) 75%<\/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>We are given the expression:<br><strong>16% of 50% is what percent of 20% of 40%?<\/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>Step 1: Convert Percentages to Decimals<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16% = 0.16<\/li>\n\n\n\n<li>50% = 0.50<\/li>\n\n\n\n<li>20% = 0.20<\/li>\n\n\n\n<li>40% = 0.40<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Calculate the Two Expressions<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Part A: 16% of 50%<\/strong><\/h4>\n\n\n\n<p>This means we multiply: 0.16\u00d70.50=0.080.16 \\times 0.50 = 0.080.16\u00d70.50=0.08<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Part B: 20% of 40%<\/strong><\/h4>\n\n\n\n<p>0.20\u00d70.40=0.080.20 \\times 0.40 = 0.080.20\u00d70.40=0.08<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Compare the Two Values<\/strong><\/h3>\n\n\n\n<p>We now compare 0.08 (from Part A) to 0.08 (from Part B). The question asks:<\/p>\n\n\n\n<p><strong>\u201c16% of 50% is what percent of 20% of 40%?\u201d<\/strong><\/p>\n\n\n\n<p>This becomes: 0.080.08\u00d7100=1\u00d7100=100%\\frac{0.08}{0.08} \\times 100 = 1 \\times 100 = 100\\%0.080.08\u200b\u00d7100=1\u00d7100=100%<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Final Answer: 100%<\/strong><\/h3>\n\n\n\n<p><strong>Correct option: (2) 100%<\/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 <\/strong><\/h3>\n\n\n\n<p>To solve this problem, we must understand how percentages work. A percentage represents a part out of 100. So when we say &#8220;16% of 50%&#8221;, we are finding 16 parts out of 100 of 50 parts out of 100.<\/p>\n\n\n\n<p>In mathematics, the word &#8220;of&#8221; translates to multiplication. So, \u201c16% of 50%\u201d is calculated by multiplying the decimal equivalents:<br>16% becomes 0.16 and 50% becomes 0.50. Multiply them: 0.16\u00d70.50=0.080.16 \\times 0.50 = 0.080.16\u00d70.50=0.08<\/p>\n\n\n\n<p>We do the same for the second part: \u201c20% of 40%\u201d. Convert to decimals:<br>20% becomes 0.20 and 40% becomes 0.40. Multiply: 0.20\u00d70.40=0.080.20 \\times 0.40 = 0.080.20\u00d70.40=0.08<\/p>\n\n\n\n<p>Now, the question is: \u201c0.08 is what percent of 0.08?\u201d This becomes a ratio: 0.080.08=1\\frac{0.08}{0.08} = 10.080.08\u200b=1<\/p>\n\n\n\n<p>To convert this ratio to a percentage, multiply by 100: 1\u00d7100=100%1 \\times 100 = 100\\%1\u00d7100=100%<\/p>\n\n\n\n<p>So, 16% of 50% is <strong>exactly 100%<\/strong> of 20% of 40%. This means the two expressions are equal.<\/p>\n\n\n\n<p>Thus, the correct answer is <strong>option (2) 100%<\/strong>.<\/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\/06\/learnexams-banner5-123.jpeg\" alt=\"\" class=\"wp-image-30111\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-123.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-123-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-123-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-123-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>16% of 50% is what percent of 20% of 40%1) 1%2) 100%3) 59%4) 64%.5) 75% The Correct Answer and Explanation is: We are given the expression:16% of 50% is what percent of 20% of 40%? Step 1: Convert Percentages to Decimals Step 2: Calculate the Two Expressions Part A: 16% of 50% This means we [&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-30106","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30106","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=30106"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30106\/revisions"}],"predecessor-version":[{"id":30115,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30106\/revisions\/30115"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}