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      Question

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

      ratio 3:4:5, respectively and the average of their incomes is Rs. 12,000. If ‘X’, ‘Y’ and ‘Z’ spend 60%, 50% and 70% of their incomes respectively, then find the average of their expenditures.
      A Rs. 2,050 Correct Answer Incorrect Answer
      B Rs. 6,200 Correct Answer Incorrect Answer
      C Rs. 7,300 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’ = 12000 × 3 = Rs. 36,000

      So, income of ‘X’ = 36000 × (3/12) = Rs. 9,000

      Income of ‘Y’ = 36000 × (4/12) = Rs. 12,000

      Income of ‘Z’ = 36000 × (5/12) = Rs. 15,000

      Expense of ‘X’ = 9000 × 0.6 = Rs. 5,400

      Expense of ‘Y’ = 12000 × 0.5 = Rs. 6,000

      Expense of ‘Z’ = 15000 × 0.7 = Rs. 10,500

      Therefore, required average = (5400 + 6000 + 10500) ÷ 3 = Rs. 7,300

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