{"id":90180,"date":"2025-06-01T10:22:23","date_gmt":"2025-06-01T10:22:23","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90180"},"modified":"2025-06-01T10:22:23","modified_gmt":"2025-06-01T10:22:23","slug":"5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/","title":{"rendered":"5% of income of A is equal to 15% of income of B and 10% income of B i"},"content":{"rendered":"

5% of income of A is equal to 15% of income of B and 10% income of B is equal to 20% of income of C. If the income of C is Rs. 2,000, then what is the total income of A, B and C ?<\/p>\n

[amp_mcq option1=”Rs. 20,000″ option2=”Rs. 18,000″ option3=”Rs. 14,000″ option4=”Rs. 6,000″ correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2017<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is B) Rs. 18,000.
\n<\/section>\n
\nWe are given the following relationships between the incomes of A, B, and C:
\n1) 5% of A = 15% of B
\n(5\/100) * A = (15\/100) * B
\n0.05 A = 0.15 B
\nDivide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B<\/p>\n

2) 10% of B = 20% of C
\n(10\/100) * B = (20\/100) * C
\n0.10 B = 0.20 C
\nDivide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C<\/p>\n

We are given the income of C is Rs. 2,000.
\nSubstitute the value of C into the equation for B:
\nB = 2 * C = 2 * 2000 = Rs. 4,000.<\/p>\n

Substitute the value of B into the equation for A:
\nA = 3 * B = 3 * 4000 = Rs. 12,000.<\/p>\n

The total income of A, B, and C is the sum of their individual incomes:
\nTotal Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.
\n<\/section>\n

\nThis problem requires setting up and solving a system of linear equations based on the given percentage relationships between the incomes. Starting with the known value (income of C) allows for a straightforward calculation of the other incomes.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

5% of income of A is equal to 15% of income of B and 10% income of B is equal to 20% of income of C. If the income of C is Rs. 2,000, then what is the total income of A, B and C ? [amp_mcq option1=”Rs. 20,000″ option2=”Rs. 18,000″ option3=”Rs. 14,000″ option4=”Rs. 6,000″ … <\/p>\n

Detailed Solution5% of income of A is equal to 15% of income of B and 10% income of B i<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1101,1102],"class_list":["post-90180","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1101","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\n5% of income of A is equal to 15% of income of B and 10% income of B i<\/title>\n<meta name=\"description\" content=\"The correct answer is B) Rs. 18,000. We are given the following relationships between the incomes of A, B, and C: 1) 5% of A = 15% of B (5\/100) * A = (15\/100) * B 0.05 A = 0.15 B Divide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B 2) 10% of B = 20% of C (10\/100) * B = (20\/100) * C 0.10 B = 0.20 C Divide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C We are given the income of C is Rs. 2,000. Substitute the value of C into the equation for B: B = 2 * C = 2 * 2000 = Rs. 4,000. Substitute the value of B into the equation for A: A = 3 * B = 3 * 4000 = Rs. 12,000. The total income of A, B, and C is the sum of their individual incomes: Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.\" \/>\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\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"5% of income of A is equal to 15% of income of B and 10% income of B i\" \/>\n<meta property=\"og:description\" content=\"The correct answer is B) Rs. 18,000. We are given the following relationships between the incomes of A, B, and C: 1) 5% of A = 15% of B (5\/100) * A = (15\/100) * B 0.05 A = 0.15 B Divide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B 2) 10% of B = 20% of C (10\/100) * B = (20\/100) * C 0.10 B = 0.20 C Divide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C We are given the income of C is Rs. 2,000. Substitute the value of C into the equation for B: B = 2 * C = 2 * 2000 = Rs. 4,000. Substitute the value of B into the equation for A: A = 3 * B = 3 * 4000 = Rs. 12,000. The total income of A, B, and C is the sum of their individual incomes: Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:22:23+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":"5% of income of A is equal to 15% of income of B and 10% income of B i","description":"The correct answer is B) Rs. 18,000. We are given the following relationships between the incomes of A, B, and C: 1) 5% of A = 15% of B (5\/100) * A = (15\/100) * B 0.05 A = 0.15 B Divide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B 2) 10% of B = 20% of C (10\/100) * B = (20\/100) * C 0.10 B = 0.20 C Divide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C We are given the income of C is Rs. 2,000. Substitute the value of C into the equation for B: B = 2 * C = 2 * 2000 = Rs. 4,000. Substitute the value of B into the equation for A: A = 3 * B = 3 * 4000 = Rs. 12,000. The total income of A, B, and C is the sum of their individual incomes: Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.","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\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/","og_locale":"en_US","og_type":"article","og_title":"5% of income of A is equal to 15% of income of B and 10% income of B i","og_description":"The correct answer is B) Rs. 18,000. We are given the following relationships between the incomes of A, B, and C: 1) 5% of A = 15% of B (5\/100) * A = (15\/100) * B 0.05 A = 0.15 B Divide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B 2) 10% of B = 20% of C (10\/100) * B = (20\/100) * C 0.10 B = 0.20 C Divide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C We are given the income of C is Rs. 2,000. Substitute the value of C into the equation for B: B = 2 * C = 2 * 2000 = Rs. 4,000. Substitute the value of B into the equation for A: A = 3 * B = 3 * 4000 = Rs. 12,000. The total income of A, B, and C is the sum of their individual incomes: Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:22:23+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\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/","url":"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/","name":"5% of income of A is equal to 15% of income of B and 10% income of B i","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:22:23+00:00","dateModified":"2025-06-01T10:22:23+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is B) Rs. 18,000. We are given the following relationships between the incomes of A, B, and C: 1) 5% of A = 15% of B (5\/100) * A = (15\/100) * B 0.05 A = 0.15 B Divide both sides by 0.05: A = (0.15 \/ 0.05) B => A = 3B 2) 10% of B = 20% of C (10\/100) * B = (20\/100) * C 0.10 B = 0.20 C Divide both sides by 0.10: B = (0.20 \/ 0.10) C => B = 2C We are given the income of C is Rs. 2,000. Substitute the value of C into the equation for B: B = 2 * C = 2 * 2000 = Rs. 4,000. Substitute the value of B into the equation for A: A = 3 * B = 3 * 4000 = Rs. 12,000. The total income of A, B, and C is the sum of their individual incomes: Total Income = A + B + C = 12000 + 4000 + 2000 = Rs. 18,000.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/5-of-income-of-a-is-equal-to-15-of-income-of-b-and-10-income-of-b-i\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"5% of income of A is equal to 15% of income of B and 10% income of B i"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=90180"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90180\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}