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    Question

    The monthly incomes of A and B are in the ratio 3 : 4,

    and their monthly expenditures are in the ratio 2 : 3. If each of them saves Rs. 4,000 per month, what is AтАЩs monthly income?
    A Rs.12000 Correct Answer Incorrect Answer
    B Rs.16520 Correct Answer Incorrect Answer
    C Rs.11520 Correct Answer Incorrect Answer
    D Rs.17880 Correct Answer Incorrect Answer

    Solution

    ATQ, Let incomes be 3a and 4a. Let expenditures be 2b and 3b. Savings: 3a тИТ 2b = 4000 ...(1) 4a тИТ 3b = 4000 ...(2) Multiply (1) by 3: 9a тИТ 6b = 12000 Multiply (2) by 2: 8a тИТ 6b = 8000 Subtract: (9a тИТ 6b) тИТ (8a тИТ 6b) = 12000 тИТ 8000 => a = 4000. AтАЩs income = 3a = 3 ├Ч 4000 = Rs. 12,000.

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