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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 ‘G’, ‘H’, and ‘I’ 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 ‘G’ = 18000 × (20/64.76) = Rs. 5542 Income of ‘H’ = 18000 × (11.43/64.76) = Rs. 3175 Income of ‘I’ = 18000 - (5542 + 3175) = Rs. 9283 Required sum = (0.7 × 5542) + (0.65 × 3175) + (0.85 × 9283) = 3880 + 2064 + 7891 = Rs. 13835

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