{"id":1538,"date":"2024-03-05T15:19:01","date_gmt":"2024-03-05T15:19:01","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1538"},"modified":"2024-03-05T15:19:01","modified_gmt":"2024-03-05T15:19:01","slug":"two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/","title":{"rendered":"Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;23.50%&#8221; option2=&#8221;22%&#8221; option3=&#8221;20%&#8221; option4=&#8221;18%&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a) 23.5%.<\/p>\n<p>Let $A$ be the third number. Then $B$ is 15% less than $A$, so $B = 0.85A$. $C$ is 32% less than $A$, so $C = 0.68A$.<\/p>\n<p>To find the percentage by which $C$ is less than $B$, we can use the following formula:<\/p>\n<p>Percentage change = $\\frac{new &#8211; old}{old} \\times 100\\%$<\/p>\n<p>In this case, the new value is $C$ and the old value is $B$. So, the percentage change is:<\/p>\n<p>Percentage change = $\\frac{0.68A &#8211; 0.85A}{0.85A} \\times 100\\% = 23.5\\%$<\/p>\n<p>Therefore, $C$ is 23.5% less than $B$.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<p>(a) 23.5%: This is the correct answer. It is calculated by using the formula above.<br \/>\n(b) 22%: This is incorrect. It is calculated by using the formula above, but with the wrong values.<br \/>\n(c) 20%: This is incorrect. It is calculated by using the formula above, but with the wrong values.<br \/>\n(d) 18%: This is incorrect. It is calculated by using the formula above, but with the wrong values.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;23.50%&#8221; option2=&#8221;22%&#8221; option3=&#8221;20%&#8221; option4=&#8221;18%&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[304],"tags":[],"class_list":["post-1538","post","type-post","status-publish","format-standard","hentry","category-percentages","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B ?<\/title>\n<meta name=\"description\" content=\"Let $A$ be the third number. Then $B$ is 15% less than $A$, so $B = 0.85A$. $C$ is 32% less than $A$, so $C = 0.68A$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B ?\" \/>\n<meta property=\"og:description\" content=\"Let $A$ be the third number. Then $B$ is 15% less than $A$, so $B = 0.85A$. $C$ is 32% less than $A$, so $C = 0.68A$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:19:01+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B ?","description":"Let $A$ be the third number. Then $B$ is 15% less than $A$, so $B = 0.85A$. $C$ is 32% less than $A$, so $C = 0.68A$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/","og_locale":"en_US","og_type":"article","og_title":"Two numbers B and C are respectively, 15% and 32% less than a third number A. By what percentage is the number C less than the number B ?","og_description":"Let $A$ be the third number. Then $B$ is 15% less than $A$, so $B = 0.85A$. $C$ is 32% less than $A$, so $C = 0.68A$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:19:01+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-numbers-b-and-c-are-respectively-15-and-32-less-than-a-third-number-a-by-what-percentage-is-the-number-c-less-than-the-number-b\/","name":"Two numbers B and C are respectively, 15% and 32% less than a third number A. 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