{"id":89602,"date":"2025-06-01T10:07:56","date_gmt":"2025-06-01T10:07:56","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89602"},"modified":"2025-06-01T10:07:56","modified_gmt":"2025-06-01T10:07:56","slug":"the-following-tables-show-the-expenditure-in-percentage-of-two-famil","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/","title":{"rendered":"The following tables show the expenditure (in percentage) of two famil"},"content":{"rendered":"

The following tables show the expenditure (in percentage) of two families A and B :
\nFamily A
\n20% Miscellaneous
\n30% Entertainment
\n50% Food
\n(Monthly income \u20b9 20,000)<\/p>\n

Family B
\n20% Entertainment
\n70% Miscellaneous
\n10% Food
\n(Monthly income \u20b9 1,00,000)<\/p>\n

Which one among the following statements is true?<\/p>\n

[amp_mcq option1=”Family A spends as much on miscellaneous as family B spends on entertainment” option2=”The food expense of family B is equal to the total expense of family A” option3=”Families A and B spend equally on food” option4=”Families A and B spend equally on entertainment” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2013<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nWe are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements.<\/p>\n

Family A: Monthly income \u20b9 20,000
\nMiscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000
\nEntertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000
\nFood: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000
\nTotal expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000.<\/p>\n

Family B: Monthly income \u20b9 1,00,000
\nMiscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000
\nEntertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000
\nFood: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000
\nTotal expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000.<\/p>\n

Now let’s evaluate each statement:
\nA) Family A spends as much on miscellaneous as family B spends on entertainment.
\nFamily A Misc: \u20b9 4,000
\nFamily B Ent: \u20b9 20,000
\n\u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false.<\/p>\n

B) The food expense of family B is equal to the total expense of family A.
\nFamily B Food: \u20b9 10,000
\nTotal expense of family A: \u20b9 20,000
\n\u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false.<\/p>\n

C) Families A and B spend equally on food.
\nFamily A Food: \u20b9 10,000
\nFamily B Food: \u20b9 10,000
\n\u20b9 10,000 = \u20b9 10,000. Statement C is true.<\/p>\n

D) Families A and B spend equally on entertainment.
\nFamily A Ent: \u20b9 6,000
\nFamily B Ent: \u20b9 20,000
\n\u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false.<\/p>\n

The only true statement is C.
\n<\/section>\n

\nTo compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.
\n<\/section>\n
\nThis problem highlights the importance of understanding that percentages are relative values. A higher percentage of a smaller total can be less than a lower percentage of a larger total. Comparing percentages directly across different totals is misleading.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The following tables show the expenditure (in percentage) of two families A and B : Family A 20% Miscellaneous 30% Entertainment 50% Food (Monthly income \u20b9 20,000) Family B 20% Entertainment 70% Miscellaneous 10% Food (Monthly income \u20b9 1,00,000) Which one among the following statements is true? [amp_mcq option1=”Family A spends as much on miscellaneous … <\/p>\n

Detailed SolutionThe following tables show the expenditure (in percentage) of two famil<\/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":[1467,1102],"class_list":["post-89602","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1467","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe following tables show the expenditure (in percentage) of two famil<\/title>\n<meta name=\"description\" content=\"We are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements. Family A: Monthly income \u20b9 20,000 Miscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000 Entertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000 Food: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000 Total expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000. Family B: Monthly income \u20b9 1,00,000 Miscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000 Entertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000 Food: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000 Total expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000. Now let's evaluate each statement: A) Family A spends as much on miscellaneous as family B spends on entertainment. Family A Misc: \u20b9 4,000 Family B Ent: \u20b9 20,000 \u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false. B) The food expense of family B is equal to the total expense of family A. Family B Food: \u20b9 10,000 Total expense of family A: \u20b9 20,000 \u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false. C) Families A and B spend equally on food. Family A Food: \u20b9 10,000 Family B Food: \u20b9 10,000 \u20b9 10,000 = \u20b9 10,000. Statement C is true. D) Families A and B spend equally on entertainment. Family A Ent: \u20b9 6,000 Family B Ent: \u20b9 20,000 \u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false. The only true statement is C. To compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.\" \/>\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\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The following tables show the expenditure (in percentage) of two famil\" \/>\n<meta property=\"og:description\" content=\"We are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements. Family A: Monthly income \u20b9 20,000 Miscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000 Entertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000 Food: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000 Total expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000. Family B: Monthly income \u20b9 1,00,000 Miscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000 Entertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000 Food: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000 Total expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000. Now let's evaluate each statement: A) Family A spends as much on miscellaneous as family B spends on entertainment. Family A Misc: \u20b9 4,000 Family B Ent: \u20b9 20,000 \u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false. B) The food expense of family B is equal to the total expense of family A. Family B Food: \u20b9 10,000 Total expense of family A: \u20b9 20,000 \u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false. C) Families A and B spend equally on food. Family A Food: \u20b9 10,000 Family B Food: \u20b9 10,000 \u20b9 10,000 = \u20b9 10,000. Statement C is true. D) Families A and B spend equally on entertainment. Family A Ent: \u20b9 6,000 Family B Ent: \u20b9 20,000 \u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false. The only true statement is C. To compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:07:56+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=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The following tables show the expenditure (in percentage) of two famil","description":"We are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements. Family A: Monthly income \u20b9 20,000 Miscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000 Entertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000 Food: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000 Total expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000. Family B: Monthly income \u20b9 1,00,000 Miscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000 Entertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000 Food: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000 Total expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000. Now let's evaluate each statement: A) Family A spends as much on miscellaneous as family B spends on entertainment. Family A Misc: \u20b9 4,000 Family B Ent: \u20b9 20,000 \u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false. B) The food expense of family B is equal to the total expense of family A. Family B Food: \u20b9 10,000 Total expense of family A: \u20b9 20,000 \u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false. C) Families A and B spend equally on food. Family A Food: \u20b9 10,000 Family B Food: \u20b9 10,000 \u20b9 10,000 = \u20b9 10,000. Statement C is true. D) Families A and B spend equally on entertainment. Family A Ent: \u20b9 6,000 Family B Ent: \u20b9 20,000 \u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false. The only true statement is C. To compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.","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\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/","og_locale":"en_US","og_type":"article","og_title":"The following tables show the expenditure (in percentage) of two famil","og_description":"We are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements. Family A: Monthly income \u20b9 20,000 Miscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000 Entertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000 Food: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000 Total expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000. Family B: Monthly income \u20b9 1,00,000 Miscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000 Entertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000 Food: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000 Total expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000. Now let's evaluate each statement: A) Family A spends as much on miscellaneous as family B spends on entertainment. Family A Misc: \u20b9 4,000 Family B Ent: \u20b9 20,000 \u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false. B) The food expense of family B is equal to the total expense of family A. Family B Food: \u20b9 10,000 Total expense of family A: \u20b9 20,000 \u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false. C) Families A and B spend equally on food. Family A Food: \u20b9 10,000 Family B Food: \u20b9 10,000 \u20b9 10,000 = \u20b9 10,000. Statement C is true. D) Families A and B spend equally on entertainment. Family A Ent: \u20b9 6,000 Family B Ent: \u20b9 20,000 \u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false. The only true statement is C. To compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:07:56+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/","name":"The following tables show the expenditure (in percentage) of two famil","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:07:56+00:00","dateModified":"2025-06-01T10:07:56+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"We are given the percentage expenditure of two families (A and B) in different categories and their monthly incomes. We need to calculate the absolute expenditure for each category for both families and then compare them based on the given statements. Family A: Monthly income \u20b9 20,000 Miscellaneous: 20% of \u20b9 20,000 = 0.20 * 20000 = \u20b9 4,000 Entertainment: 30% of \u20b9 20,000 = 0.30 * 20000 = \u20b9 6,000 Food: 50% of \u20b9 20,000 = 0.50 * 20000 = \u20b9 10,000 Total expenditure for Family A = 4000 + 6000 + 10000 = \u20b9 20,000. Family B: Monthly income \u20b9 1,00,000 Miscellaneous: 70% of \u20b9 1,00,000 = 0.70 * 100000 = \u20b9 70,000 Entertainment: 20% of \u20b9 1,00,000 = 0.20 * 100000 = \u20b9 20,000 Food: 10% of \u20b9 1,00,000 = 0.10 * 100000 = \u20b9 10,000 Total expenditure for Family B = 70000 + 20000 + 10000 = \u20b9 1,00,000. Now let's evaluate each statement: A) Family A spends as much on miscellaneous as family B spends on entertainment. Family A Misc: \u20b9 4,000 Family B Ent: \u20b9 20,000 \u20b9 4,000 \u2260 \u20b9 20,000. Statement A is false. B) The food expense of family B is equal to the total expense of family A. Family B Food: \u20b9 10,000 Total expense of family A: \u20b9 20,000 \u20b9 10,000 \u2260 \u20b9 20,000. Statement B is false. C) Families A and B spend equally on food. Family A Food: \u20b9 10,000 Family B Food: \u20b9 10,000 \u20b9 10,000 = \u20b9 10,000. Statement C is true. D) Families A and B spend equally on entertainment. Family A Ent: \u20b9 6,000 Family B Ent: \u20b9 20,000 \u20b9 6,000 \u2260 \u20b9 20,000. Statement D is false. The only true statement is C. To compare expenditures from percentage data for different total amounts (incomes), it is necessary to calculate the absolute values of the expenditures.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-following-tables-show-the-expenditure-in-percentage-of-two-famil\/#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":"The following tables show the expenditure (in percentage) of two famil"}]},{"@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\/89602","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=89602"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89602\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}