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      Question

      The incomes of ‘X’, ‘Y’, and ‘Z’ are in the

      ratio 5:6:9, respectively. The average income of the three is Rs. 15,000. If ‘X’, ‘Y’, and ‘Z’ spend 40%, 80%, and 60% of their respective incomes, find the average expenditure.
      A Rs. 2,050 Correct Answer Incorrect Answer
      B Rs. 6,200 Correct Answer Incorrect Answer
      C Rs. 9,150 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 ‘X’, ‘Y’ and ‘Z’ = 15000 × 3 = Rs. 45,000

      Income of ‘X’ = 45000 × (5/20) = Rs. 11,250

      Income of ‘Y’ = 45000 × (6/20) = Rs. 13,500

      Income of ‘Z’ = 45000 × (9/20) = Rs. 20,250

      Expense of ‘X’ = 11250 × 0.4 = Rs. 4,500

      Expense of ‘Y’ = 13500 × 0.8 = Rs. 10,800

      Expense of ‘Z’ = 20250 × 0.6 = Rs. 12,150

      Therefore, required average = (4500 + 10800 + 12150) ÷ 3 = Rs. 9,150

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