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    Question

    The sum of the incomes of 'G', 'H', and 'I' is Rs.

    18000. 'G', 'H', and 'I' spend 70%, 65%, and 85% of their respective incomes, with their savings in the ratio 6:4:5. Calculate the total expenditures of 'G', 'H', and 'I'.
    A Rs.16842 Correct Answer Incorrect Answer
    B Rs.14529 Correct Answer Incorrect Answer
    C Rs.20769 Correct Answer Incorrect Answer
    D Rs.13835 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of тАШGтАЩ, тАШHтАЩ, and тАШIтАЩ be Rs. g, Rs. h, and Rs. i. According to the question, 0.3g : 0.35h : 0.15i = 6 : 4 : 5 Or, g : h : i = (6/0.3) : (4/0.35) : (5/0.15) = 20 : 11.43 : 33.33 Sum of the ratios = 20 + 11.43 + 33.33 = 64.76 Therefore, income of тАШGтАЩ = 18000 ├Ч (20/64.76) = Rs. 5542 Income of тАШHтАЩ = 18000 ├Ч (11.43/64.76) = Rs. 3175 Income of тАШIтАЩ = 18000 - (5542 + 3175) = Rs. 9283 Required sum = (0.7 ├Ч 5542) + (0.65 ├Ч 3175) + (0.85 ├Ч 9283) = 3880 + 2064 + 7891 = Rs. 13835

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