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      Question

      In a mixture, milk and water are in the ratio 2:3. When

      10 litres of milk and 6 litres of water are added, the ratio becomes 4:5. Find the initial quantity of the mixture.
      A 55 litres Correct Answer Incorrect Answer
      B 60 litres Correct Answer Incorrect Answer
      C 65 litres Correct Answer Incorrect Answer
      D 70 litres Correct Answer Incorrect Answer

      Solution

      Let the initial quantity of milk and water be '2y' and '3y' litres respectively.
      So, (2y + 10):(3y + 6) = 4:5
      Or, 5 Γ— (2y + 10) = 4 Γ— (3y + 6)
      Or, 10y + 50 = 12y + 24
      Or, 2y = 26
      Or, y = 13
      Therefore, required quantity = 2y + 3y = 5y = 5 Γ— 13 = 65 litres

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