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    • Question

      The earnings of ‘U’, ‘V’, and ‘W’ are in the

      ratio 2:3:5. Their average income is Rs. 18,000. If they spend 45%, 55%, and 65% of their respective incomes, find the average of their expenditures.
      A Rs. 12,050 Correct Answer Incorrect Answer
      B Rs. 16,200 Correct Answer Incorrect Answer
      C Rs. 10,440 Correct Answer Incorrect Answer
      D Rs. 15,025 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Sum of incomes of ‘U’, ‘V’ and ‘W’ = 18000 × 3 = Rs. 54,000

      Income of ‘U’ = 54000 × (2/10) = Rs. 10,800

      Income of ‘V’ = 54000 × (3/10) = Rs. 16,200

      Income of ‘W’ = 54000 × (5/10) = Rs. 27,000

      Expense of ‘U’ = 10800 × 0.45 = Rs. 4,860

      Expense of ‘V’ = 16200 × 0.55 = Rs. 8,910

      Expense of ‘W’ = 27000 × 0.65 = Rs. 17,550

      Therefore, required average = (4860 + 8910 + 17550) ÷ 3 = Rs. 10,440

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