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      Question

      Mixture X has 75% juice and 25% water. Mixture Y is 40

      litres and has juice and water in the ratio 1:3. After mixing both mixtures, the total water in the final mixture becomes 80 litres. Find the total quantity of Mixture X (in litres).
      A 200 litres Correct Answer Incorrect Answer
      B 180 litres Correct Answer Incorrect Answer
      C 165 litres Correct Answer Incorrect Answer
      D 145 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the initial quantity of mixture X = 100x Amount of juice in the mixture = 75% of 100x = 75x The remaining 25x is water. Amount of juice in the another mixture = (40/4) × 1 = 10 litres Remaining 30 litres are water. It is given that, 25x + 30 = 80 25x = 50 x = 2 Total quantity of mixture X = 100x = 100(2) = 200 litres

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