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      Question

      A 300 litres mixture of milk and water contains 50%

      milk. How much water should be added to the mixture to make the quantity of water 70% of the total mixture?
      A 120 Correct Answer Incorrect Answer
      B 200 Correct Answer Incorrect Answer
      C 165 Correct Answer Incorrect Answer
      D 180 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Initial quantity of milk in the mixture = 0.5 × 300 = 150 litres Initial quantity of water = 300 – 150 = 150 litres Let the quantity of water added be ‘x’ litres According to the question, (150 + x) = 0.7(150 + x + 150) Or, 150 + x = 210 + 0.7x Or, x = 60/0.3 = 200 Therefore, the quantity of water to be added = 200 litres

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