Question
The incomes of A, B, and C are in the ratio 3:4:5, and
their expenditures are in the ratio 2:3:4. If A saves ₹2,000, what is the income of C?Solution
Let the incomes of A, B, and C be 3x, 4x, and 5x, respectively. Let their expenditures be 2y, 3y, and 4y, respectively. Savings of A = Income - Expenditure = 3x - 2y = 2,000. For simplicity, assume x = 2y (since ratios must be consistent). 3x - 2y = 2,000 → 3(2y) - 2y = 2,000 → 6y - 2y = 2,000 y = 500. Substitute y = 500 into C’s income: 5x = 5(2y) = 5(2 × 500) = ₹5,000. Correct Option: c
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