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      Question

      A mixture (milk + water) contains milk and water in the

      ratio of 5:3, respectively. If 64 litres of the mixture is replaced with 32 litres of water, then quantity of milk in the final mixture becomes 24 litres more than that of water. Find the initial quantity of the mixture.
      A 128 litres Correct Answer Incorrect Answer
      B 160 litres Correct Answer Incorrect Answer
      C 256 litres Correct Answer Incorrect Answer
      D 288 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the quantity of milk and water in the initial mixture be ‘5x’ litres and ‘3x’ litres, respectively Quantity of milk in 64 litres of the mixture
      = 64 × (5/8) = 40 litres Quantity of water in 64 litres of the mixture
      = 64 − 40 = 24 litres According to the question, (5x − 40) = (3x − 24 + 32) + 24 Or, 5x − 3x = 40 + 32 Or, 2x = 72 Or, x = 36 Initial quantity of the mixture
      = 8x = 8 × 36 = 288 litres

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