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      Question

      A mixture (alcohol and water) contains 30% alcohol and

      rest 140 litres water. How much alcohol should be added to the mixture to make the ratio of alcohol to water in the mixture 5:4?
      A 130 litres Correct Answer Incorrect Answer
      B 115 litres Correct Answer Incorrect Answer
      C 135.5 litres Correct Answer Incorrect Answer
      D 133 litres Correct Answer Incorrect Answer
      E 128.5 litres Correct Answer Incorrect Answer

      Solution

      Initial quantity of alcohol in the mixture = 30 × (0.30/0.70) = 60 litres
      Let the quantity of alcohol added be ‘x’ litres
      According to the question,
      (60 + x)/140 = 5/4
      => x = 175– 60
      => x = 115
      Therefore, quantity of alcohol added = 115 litres

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