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      Question

      A 200-litre mixture of milk and water contains 70% milk.

      How much water should be added so that the ratio of milk to water becomes 7:6?
      A 60 litres Correct Answer Incorrect Answer
      B 52 litres Correct Answer Incorrect Answer
      C 24 litres Correct Answer Incorrect Answer
      D 32 litres Correct Answer Incorrect Answer

      Solution

      ATQ,

      Initial quantity of milk = 0.7 ├Ч 200 = 140 litres Therefore, initial quantity of water = 200 тАУ 140 = 60 litres Let the quantity of water added be тАШxтАЩ litres According to the question, 140 / (60 + x) = 7 / 6 Or, 6 ├Ч 140 = 7 ├Ч (60 + x) Or, 840 = 420 + 7x Or, 7x = 420 x = 60 Therefore, quantity of water added = 60 litres

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