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      Question

      In a mixture of alcohol and water contains ‘3a’

      liters alcohol and (a + 40) liters water. On adding 20 liters more water, the ratio of quantity of water to that of alcohol in the mixture becomes 2:3. How much water should be added in the resultant mixture to further decrease the % of quantity of alcohol in the mixture to 50%?
      A 50 liters Correct Answer Incorrect Answer
      B 60 liters Correct Answer Incorrect Answer
      C 54 liters Correct Answer Incorrect Answer
      D 10 liters Correct Answer Incorrect Answer
      E 63 liters Correct Answer Incorrect Answer

      Solution

      ATQ; we can say that [(3a)/(a + 40 + 20)] = (3/2) Or, 6a = 3x + 180 Or, 3a = 180 So, a = 60 So, quantity of alcohol present in the mixture = 60 × 3 = 180 liters And quantity of water present in the mixture = (60 + 40 + 20) = 120 liters So, quantity of mixture after more water is added = (180 ÷ 0.5) = 360 liters So, quantity of water to be added = 360 -300 = 60 liters

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