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      Question

      A mixture of milk and water contains 25% water. On

      adding 20 litres of water, the quantity of milk becomes 40% more than that of water. Find the initial quantity of water in the mixture.
      A 20.9 Correct Answer Incorrect Answer
      B 12.4 Correct Answer Incorrect Answer
      C 17.5 Correct Answer Incorrect Answer
      D 45.5 Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total quantity of mixture initially be '100y' litres. Quantity of water = 0.25 Γ— 100y = '25y' litres. Quantity of milk = 100y - 25y = '75y' litres. ATQ: 75y=1.4Γ—(25y+20) 75y=35y+28 40y=28 y = 28/40 = 0.7 Therefore, initial quantity of water = 25 Γ— 0.7 = 17.5 litres.

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