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    Question

    The earnings of ‘P’, ‘Q’ and ‘R’ are in the

    ratio 6:9:10 respectively. The average income of the three is Rs. 12,000. If ‘P’, ‘Q’ and ‘R’ spend 60%, 70% and 50% of their incomes respectively, find their average expenditure.
    A Rs. 2,050 Correct Answer Incorrect Answer
    B Rs. 6,200 Correct Answer Incorrect Answer
    C Rs. 7,152 Correct Answer Incorrect Answer
    D Rs. 5,025 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of incomes of ‘P’, ‘Q’ and ‘R’ = 12000 × 3 = Rs. 36,000

    Income of ‘P’ = 36000 × (6/25) = Rs. 8,640

    Income of ‘Q’ = 36000 × (9/25) = Rs. 12,960

    Income of ‘R’ = 36000 × (10/25) = Rs. 14,400

    Expense of ‘P’ = 8640 × 0.6 = Rs. 5,184

    Expense of ‘Q’ = 12960 × 0.7 = Rs. 9,072

    Expense of ‘R’ = 14400 × 0.5 = Rs. 7,200

    Therefore, required average = (5184 + 9072 + 7200) ÷ 3 = Rs. 7,152

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