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      Question

      A vessel contains 100 litres of mixture (milk + water)

      in which milk and water are in the ratio 5:5, respectively. If 30 litres of this mixture is taken out and replaced by 20 litres of water, then what would be the ratio of quantities of milk and water in the resulting mixture?
      A 7:5 Correct Answer Incorrect Answer
      B 9:11 Correct Answer Incorrect Answer
      C 7:8 Correct Answer Incorrect Answer
      D 7:11 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Initially, Quantity of milk in the mixture = 100 × (5/10) = 50 litres Quantity of water in the mixture = 100 × (5/10) = 50 litres Quantity of milk taken out = 30 × (5/10) = 15 litres Quantity of water taken out = 30 - 15 = 15 litres After removal and addition, Quantity of milk = 50 - 15 = 35 litres Quantity of water = 50 - 15 + 20 = 55 litres Ratio of quantity of milk to that of water = 35:55 = 7:11

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