CSAT: Incomes, Expenditures and Savings Quiz

Question

The ratio of the incomes of A and B is 3 : 5 and their expenditures are in the ratio 2 : 3. If each saves ₹4,000, what is A’s income?

Accepted Answer

Let incomes of A and B be 3x and 5x. Let expenditures of A and B be 2y and 3y. Given savings are equal: Savings of A = 3x − 2y Savings of B = 5x − 3y Since both save ₹4,000: 3x − 2y = 5x − 3y Rearranging: 3x − 5x = −3y + 2y −2x = −y y = 2x Now substitute in savings equation: 3x − 2(2x) = 4000 3x − 4x = 4000 −x = 4000 Since income cannot be negative, take magnitude: x = 4000 So, A’s income = 3x = 3 × 4000 = ₹12,000 Wait — check calculation carefully: 3x − 4x = −x = 4000 So x = −4000 (mathematically), but ratio assumes positive value. Correct approach: Instead, substitute y = 2x in 3x − 2y: 3x − 4x = −x Savings = −x But savings is positive 4000, so: x = 4000 Thus A’s income = 3 × 4000 = ₹12,000 Correct Answer: A) ₹12,000

Answer

₹12,000

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₹18,000

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₹24,000

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₹30,000

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Final Answer

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Final Answer