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    Question

    The monthly incomes of P, Q and R are in the ratio 6:9:10,

    and their average income is Rs. 12,500. If P, Q and R spend 60%, 50% and 40% of their respective incomes, what is the average of their monthly expenses?
    A Rs. 2,050 Correct Answer Incorrect Answer
    B Rs. 6,200 Correct Answer Incorrect Answer
    C Rs. 6,050 Correct Answer Incorrect Answer
    D Rs. 1,025 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of incomes of P, Q and R = 12500 Γ— 3 = Rs. 37,500

    Income of P = 37500 Γ— (6/25) = Rs. 9,000

    Income of Q = 37500 Γ— (9/25) = Rs. 13,500

    Income of R = 37500 Γ— (10/25) = Rs. 15,000

    Expense of P = 9000 Γ— 0.6 = Rs. 5,400

    Expense of Q = 13500 Γ— 0.5 = Rs. 6,750

    Expense of R = 15000 Γ— 0.4 = Rs. 6,000

    Therefore, required average = (5400 + 6750 + 6000) Γ· 3 = Rs. 6,050

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