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      Question

      In a mixture, the milk and honey are in the ratio 9:2.

      When 44 liters of the mixture is replaced with 20 liters of honey, the ratio becomes 9:4. Find the initial amount of honey.
      A 35 liters Correct Answer Incorrect Answer
      B 24 liters Correct Answer Incorrect Answer
      C 42 liters Correct Answer Incorrect Answer
      D 54 liters Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let milk = 9x and honey = 2x After removing 44 liters, Milk left = 9x - 44×(9/11) = 9x - 36 Honey left = 2x - 44×(2/11) = 2x - 8 After adding 20 liters of honey, (9x - 36) / (2x - 8 + 20) = 9 / 4 36x - 144 = 18x + 72 18x = 216 x = 12 Initial quantity of honey = 2x = 24 liters

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