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      Question

      "P" and "Q" have income to expenditure ratios of 5:2 and

      5:3, respectively. If their combined incomes amount to Rs. 5,500 and "P" manages to save Rs. 1,500, determine the expenditure of "Q."
      A Rs. 1,700 Correct Answer Incorrect Answer
      B Rs. 1,600 Correct Answer Incorrect Answer
      C Rs. 1,500 Correct Answer Incorrect Answer
      D Rs. 1,800 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, income and expenditure of ‘P’ be Rs. ‘5x’ and ‘2x’, respectively And, income and expenditure of ‘Q’ be Rs. ‘5y’ and Rs. ‘3y’, respectively. ATQ, 5x – 2x = 1500 Or, 3x = 1500 Or, x = 1500/3 = 500 Also, 5x + 5y = 5500 Or, x + y = 1100 So, y = 1100 – 500 = 600 Therefore, expenditure of ‘Q’ = 3 × 600 = Rs. 1,800

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