{"id":93280,"date":"2025-06-01T11:46:27","date_gmt":"2025-06-01T11:46:27","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93280"},"modified":"2025-06-01T11:46:27","modified_gmt":"2025-06-01T11:46:27","slug":"a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/","title":{"rendered":"‘A’ and ‘B’ have pocket money in the ratio of 3 : 4. After the day’s w"},"content":{"rendered":"

‘A’ and ‘B’ have pocket money in the ratio of 3 : 4. After the day’s work, ‘A’ earned \u20b9 600 while ‘B’ earned \u20b9 500. However, ‘A’ spent \u20b9 150 and ‘B’ spent \u20b9 100 during the day. If they have equal amount of money at the end of the day, then the pocket money ‘A’ had in the morning is:<\/p>\n

[amp_mcq option1=”\u20b9 150″ option2=”\u20b9 200″ option3=”\u20b9 250″ option4=”\u20b9 100″ correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nLet A’s initial pocket money be 3x and B’s initial pocket money be 4x. At the end of the day, A’s total money is 3x + \u20b9 600 – \u20b9 150 = 3x + \u20b9 450. B’s total money is 4x + \u20b9 500 – \u20b9 100 = 4x + \u20b9 400. Since they have equal amounts at the end, 3x + 450 = 4x + 400. Solving for x, we get x = 50. A’s initial pocket money was 3x, which is 3 * 50 = \u20b9 150.
\n<\/section>\n
\n– Represent the initial amounts using the given ratio with a variable (e.g., 3x and 4x).
\n– Formulate expressions for the final amounts for A and B by adding earnings and subtracting spending.
\n– Set the final amounts equal to each other based on the problem statement.
\n– Solve the resulting linear equation for the variable x.
\n– Calculate the initial pocket money for A using the value of x.
\n<\/section>\n
\nThis is a typical word problem involving ratios and linear equations. Careful tracking of money earned and spent for each person is crucial. The phrase “equal amount of money at the end of the day” provides the equation needed to solve for the unknown variable.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

‘A’ and ‘B’ have pocket money in the ratio of 3 : 4. After the day’s work, ‘A’ earned \u20b9 600 while ‘B’ earned \u20b9 500. However, ‘A’ spent \u20b9 150 and ‘B’ spent \u20b9 100 during the day. If they have equal amount of money at the end of the day, then the pocket … <\/p>\n

Detailed Solution‘A’ and ‘B’ have pocket money in the ratio of 3 : 4. After the day’s w<\/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":[1089],"tags":[1105,1102],"class_list":["post-93280","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1105","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\n'A' and 'B' have pocket money in the ratio of 3 : 4. After the day's w<\/title>\n<meta name=\"description\" content=\"Let A's initial pocket money be 3x and B's initial pocket money be 4x. At the end of the day, A's total money is 3x + \u20b9 600 - \u20b9 150 = 3x + \u20b9 450. B's total money is 4x + \u20b9 500 - \u20b9 100 = 4x + \u20b9 400. Since they have equal amounts at the end, 3x + 450 = 4x + 400. Solving for x, we get x = 50. A's initial pocket money was 3x, which is 3 * 50 = \u20b9 150. - Represent the initial amounts using the given ratio with a variable (e.g., 3x and 4x). - Formulate expressions for the final amounts for A and B by adding earnings and subtracting spending. - Set the final amounts equal to each other based on the problem statement. - Solve the resulting linear equation for the variable x. - Calculate the initial pocket money for A using the value of x.\" \/>\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\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"'A' and 'B' have pocket money in the ratio of 3 : 4. After the day's w\" \/>\n<meta property=\"og:description\" content=\"Let A's initial pocket money be 3x and B's initial pocket money be 4x. At the end of the day, A's total money is 3x + \u20b9 600 - \u20b9 150 = 3x + \u20b9 450. B's total money is 4x + \u20b9 500 - \u20b9 100 = 4x + \u20b9 400. Since they have equal amounts at the end, 3x + 450 = 4x + 400. Solving for x, we get x = 50. A's initial pocket money was 3x, which is 3 * 50 = \u20b9 150. - Represent the initial amounts using the given ratio with a variable (e.g., 3x and 4x). - Formulate expressions for the final amounts for A and B by adding earnings and subtracting spending. - Set the final amounts equal to each other based on the problem statement. - Solve the resulting linear equation for the variable x. - Calculate the initial pocket money for A using the value of x.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:46:27+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":"'A' and 'B' have pocket money in the ratio of 3 : 4. 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A's initial pocket money was 3x, which is 3 * 50 = \u20b9 150. - Represent the initial amounts using the given ratio with a variable (e.g., 3x and 4x). - Formulate expressions for the final amounts for A and B by adding earnings and subtracting spending. - Set the final amounts equal to each other based on the problem statement. - Solve the resulting linear equation for the variable x. - Calculate the initial pocket money for A using the value of x.","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\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/","og_locale":"en_US","og_type":"article","og_title":"'A' and 'B' have pocket money in the ratio of 3 : 4. After the day's w","og_description":"Let A's initial pocket money be 3x and B's initial pocket money be 4x. 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A's initial pocket money was 3x, which is 3 * 50 = \u20b9 150. - Represent the initial amounts using the given ratio with a variable (e.g., 3x and 4x). - Formulate expressions for the final amounts for A and B by adding earnings and subtracting spending. - Set the final amounts equal to each other based on the problem statement. - Solve the resulting linear equation for the variable x. - Calculate the initial pocket money for A using the value of x.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:46:27+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\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-and-b-have-pocket-money-in-the-ratio-of-3-4-after-the-days-w\/","name":"'A' and 'B' have pocket money in the ratio of 3 : 4. 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