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      Question

      Mixture 'A' contains 20% water and rest milk which is

      equal to 40% of quantity of water in mixture 'B' (milk + water). Ratio of quantity of milk in mixture 'A' and mixture 'B' is 2:5, respectively. If difference between total quantity of mixture 'A' and mixture 'B' is 150 litres, then find the difference between quantities of water in given two mixtures.
      A 90 litres Correct Answer Incorrect Answer
      B 105 litres Correct Answer Incorrect Answer
      C 75 litres Correct Answer Incorrect Answer
      D 120 litres Correct Answer Incorrect Answer
      E 135 litres Correct Answer Incorrect Answer

      Solution

      Let quantity of water in mixture 'B' be '5x' litres Quantity of milk in mixture 'A' = 0.4 × 5x = '2x' litres Total quantity of mixture 'A' = (2x/0.8) = '2.5x' litres Quantity of water in mixture 'A' = 2.5x − 2x = '0.5x' litres Quantity of milk in mixture 'B' = 2x × (5/2) = '5x' litres Total quantity of mixture 'B' = 5x + 5x = '10x' litres According to the question, 10x − 2.5x = 150 Or, 7.5x = 150 Or, 'x' = (150/7.5) = 20 Required difference = 5x − 0.5x
      = 4.5x
      = 4.5 × 20
      = 90 litres

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