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?
    A ₹7,000 Correct Answer Incorrect Answer
    B ₹6,000 Correct Answer Incorrect Answer
    C ₹5,000 Correct Answer Incorrect Answer
    D ₹10,000 Correct Answer Incorrect Answer

    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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