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      Question

      The ratio of milk to water is 1:2. When 1 litre of milk and

      1 litre of water are added, the new ratio becomes 2:3. Find the initial quantity of the mixture.
      A 7 litres Correct Answer Incorrect Answer
      B 2 litres Correct Answer Incorrect Answer
      C 3 litres Correct Answer Incorrect Answer
      D 8 litres Correct Answer Incorrect Answer
      E 9 litres Correct Answer Incorrect Answer

      Solution

      Let the initial quantity of milk and water be 'y' and '2y' litres respectively.
      So, (y + 1):(2y + 1) = 2:3
      Or, 3 Γ— (y + 1) = 2 Γ— (2y + 1)
      Or, 3y + 3 = 4y + 2
      Or, y = 1
      Therefore, required quantity = 3y = 3 Γ— 1 = 3 litres

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