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      Question

      If a mixture contains milk and water in the ratio of 4:

      1. If 20% of mixture is taken out and same amount of milk and water are added into mixture, then, difference between milk and water in final mixture becomes 72 litres, Then, find initial amount of mixture.
      A 120 litres Correct Answer Incorrect Answer
      B 140 litres Correct Answer Incorrect Answer
      C 160 litres Correct Answer Incorrect Answer
      D 100 litres Correct Answer Incorrect Answer
      E 150 litres Correct Answer Incorrect Answer

      Solution

      Suppose initial amount of mixture = 100 Milk = 100 × 4/5 = 80 litres Water = 100 – 80 = 20 litres Now, 20% of the mixture is taken out from the mixture, then Mixture taken out = 20/100 × 100 = 20 litres Milk taken out = 80 –4/5 × 20 = 64 litres Water taken out = 20 – 1/5 × 20 = 16 litres Let x amount of mixture added 16 + x – 64 – x ≡ 72 48 ≡ 72 1 ≡ 72/48 100 ≡ 150 litres

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