The monthly incomes of Amit and Bharat are in the ratio 5 : 4, their monthly expenses are in the ratio…
Amit earns ₹ 15,000 a month. Their joint monthly saving is 1,32,000 ÷ 12 = ₹ 11,000, which splits 37 : 18 as ₹ 7,400 and ₹ 3,600. With incomes 5x, 4x and expenses 19y, 21y:…
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The monthly incomes of Amit and Bharat are in the ratio 5 : 4, their monthly expenses are in the ratio 19 : 21, and their monthly savings are in the ratio 37 : 18. If the total annual savings of Amit and Bharat is ₹ 1,32,000, Amit's monthly income is:
Answer and explanation
Correct answer B
Amit earns ₹ 15,000 a month. Their joint monthly saving is 1,32,000 ÷ 12 = ₹ 11,000, which splits 37 : 18 as ₹ 7,400 and ₹ 3,600. With incomes 5x, 4x and expenses 19y, 21y: 5x − 19y = 7400 and 4x − 21y = 3600. Solving gives y = 400 and x = 3000, so Amit's income is 5 × 3000 = ₹ 15,000 (check: Bharat earns ₹ 12,000, spends ₹ 8,400 and saves ₹ 3,600). ₹ 12,000 is Bharat's income, not Amit's, and ₹ 16,000 or ₹ 18,000 do not satisfy both equations.
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Common Management Admission Test (CMAT)