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    Question

    The total income of 'X', 'Y', and 'Z' is Rs. 21000. They

    spend 85%, 80%, and 75% of their incomes, and the ratio of their savings is 4:5:6. Calculate the total expenditure of 'X', 'Y', and 'Z'.
    A Rs.16842 Correct Answer Incorrect Answer
    B Rs.14529 Correct Answer Incorrect Answer
    C Rs.15565 Correct Answer Incorrect Answer
    D Rs.15529 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of β€˜X’, β€˜Y’, and β€˜Z’ be Rs. x, Rs. y, and Rs. z. According to the question, 0.15x : 0.2y : 0.25z = 4 : 5 : 6 Or, x : y : z = (4/0.15) : (5/0.2) : (6/0.25) = 26.67 : 25 : 24 Sum of the ratios = 26.67 + 25 + 24 = 75.67 Therefore, income of β€˜X’ = 21000 Γ— (26.67/75.67) = Rs. 7435 Income of β€˜Y’ = 21000 Γ— (25/75.67) = Rs. 6966 Income of β€˜Z’ = 21000 - (7435 + 6966) = Rs. 6599 Required sum = (0.85 Γ— 7435) + (0.8 Γ— 6966) + (0.75 Γ— 6599) = 6320 + 5573 + 4949 = Rs.16842

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