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      Question

      Mixture ‘A’ initially has milk and water in a ratio

      of 5:9. After adding 11 liters of milk and 17 liters of water, the new ratio of milk to water becomes 4:7. Determine the initial quantity of water in mixture ‘A’.
      A 54 lit Correct Answer Incorrect Answer
      B 45 lit Correct Answer Incorrect Answer
      C 63 lit Correct Answer Incorrect Answer
      D 81 lit Correct Answer Incorrect Answer

      Solution

      Let, the quantity of milk and water in the initial mixture be ‘5x’ litres and ‘9x’ litres respectively.

      ATQ,

      (5x + 11)/(9x + 17) = 4/7

      Or, 35x + 77 = 36x + 68

      Or, x = 9

      So, quantity of water in the initial mixture ‘A’ = 9 × 9 = 81 litres

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