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      Question

      The ratio of milk and water in a mixture is 4:3

      respectively. When 8 litres of milk and 10 litres of water are added to the mixture, the ratio becomes 6:5 respectively. Find the initial quantity of the mixture.
      A 60 litres Correct Answer Incorrect Answer
      B 65 litres Correct Answer Incorrect Answer
      C 70 litres Correct Answer Incorrect Answer
      D 75 litres Correct Answer Incorrect Answer
      E 80 litres Correct Answer Incorrect Answer

      Solution

      Let the initial quantity of milk and water be '4y' and '3y' litres respectively.
      So, (4y + 8):(3y + 10) = 6:5
      Or, 5 Ă— (4y + 8) = 6 Ă— (3y + 10)
      Or, 20y + 40 = 18y + 60
      Or, 2y = 20
      Or, y = 10
      Therefore, required quantity = 4y + 3y = 7y = 7 Ă— 10 = 70 litres

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