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    Question

    The combined income of 'L', 'M', and 'N' is Rs. 27000.

    They spend 90%, 85%, and 60% of their incomes, and the savings are in the ratio 2:3:10. Find the total expenditures of 'L', 'M', and 'N'.
    A Rs.16842 Correct Answer Incorrect Answer
    B Rs.14529 Correct Answer Incorrect Answer
    C Rs. 20769 Correct Answer Incorrect Answer
    D Rs.15529 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of ‘L’, ‘M’, and ‘N’ be Rs. l, Rs. m, and Rs. n. According to the question, 0.1l : 0.15m : 0.4n = 2 : 3 : 10 Or, l : m : n = (2/0.1) : (3/0.15) : (10/0.4) = 20 : 20 : 25 Sum of the ratios = 20 + 20 + 25 = 65 Therefore, income of ‘L’ = 27000 × (20/65) = Rs. 8308 Income of ‘M’ = 27000 × (20/65) = Rs. 8308 Income of ‘N’ = 27000 - (8308 + 8308) = Rs. 10384 Required sum = (0.9 × 8308) + (0.85 × 8308) + (0.6 × 10384) = 7477 + 7062 + 6230 = Rs. 20769

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