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      Question

      The ratio of income of 'P' to that of 'Q' is 3:4. Sum of

      their expenditures is Rs. 72,000. Savings of 'P' is 25% more than that of 'Q'. Expenditure of 'P' is 40% of the sum of income of 'P' and 'Q'. Find the income of 'Q'. (Calculate approximate value)
      A Rs. 34,000 Correct Answer Incorrect Answer
      B Rs. 43,373 Correct Answer Incorrect Answer
      C Rs. 54,600 Correct Answer Incorrect Answer
      D Rs. 41,200 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let incomes: P = 3x Q = 4x Given: P's expenditure = 40% of (3x + 4x) = 0.4 × 7x = 2.8x Total expenditure = ₹72,000 P’s savings = 25% more than Q’s savings = (3x − 2.8x) = 1.25(4x − E₂) Use savings equation 0.2x = 1.25(4x − E₂) = 0.16x = 4x − E₂ = E₂ = 4x − 0.16x = 3.84x Total expenditure E₁ + E₂ = 2.8x + 3.84x = 6.64x = ₹72,000 = x = 72000 / 6.64 = ₹10,843.37 Q's income = 4x = 4 × 10,843.37 = ₹43,373.48 or ₹43,373 (approx)

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