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      Question

      A container contains milk and water in the ratio 7:5,

      respectively. It also contains 40 litres of sugar solution. If a certain quantity of mixture which contains 14 litres of milk, 10 litres of sugar solution and ‘p’ litres of water is taken out and replaced with ‘a’ litre of water, then the ratio of quantity of milk to that of water becomes 3:4, respectively. Find the value of ‘a’.
      A 36 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 42 Correct Answer Incorrect Answer
      D 54 Correct Answer Incorrect Answer
      E Cannot determined Correct Answer Incorrect Answer

      Solution

      Since, ratio of quantity of milk and sugar solution taken out
      = 14 : 10 = 7 : 5
      So, quantity of milk in initial mixture
      = 40 × (7/5) = 56 litres
      And, quantity of water in the initial mixture
      = (5/7) × 56 = 40 litres
      Quantity of milk left = 56 − 14 = 42 litres
      Quantity of water left = 40 − 10 = 30 litres
      ATQ;
      42/(30+a) = 3/4
      Or, 30 + a = 56
      Or, a = 26

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