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      Question

      Average income of 'X' and 'Y'

      together is Rs. 45,000. Whereas the average expenditure of 'X' and 'Y' is Rs. 34,000. Find the savings of 'X' if the savings of 'X' is 20% more than that of 'Y'.
      A Rs. 12,000 Correct Answer Incorrect Answer
      B Rs. 11,400 Correct Answer Incorrect Answer
      C Rs. 21,500 Correct Answer Incorrect Answer
      D Rs. 17,000 Correct Answer Incorrect Answer

      Solution

      ATQ, Sum of incomes of 'X' and 'Y' = 45,000 × 2 = Rs. 90,000 Sum of expenditures of 'X' and 'Y' = 34,000 × 2 = Rs. 68,000 So, sum of savings of 'X' and 'Y' = 90,000 - 68,000 = Rs. 22,000 Let the savings of 'Y' be Rs. '100y' So, savings of 'X' = 1.20 × 100y = Rs. '120y' Now, 100y + 120y = 22,000 Or, 220y = 22,000 So, 'y' = 100 Therefore, savings of 'X' = 120 × 100 = Rs. 12,000

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