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      Question

      A vessel contains a mixture of

      milk and water in the ratio 7:2 respectively. 90 liters of the mixture is taken out of the vessel and is replaced with 10 liters of water, so that the ratio of milk to water in the vessel becomes 4:1. Find the initial quantity of water in the vessel.
      A 25 liters Correct Answer Incorrect Answer
      B 45 liters Correct Answer Incorrect Answer
      C 60 liters Correct Answer Incorrect Answer
      D 75 litres Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the initial quantities of milk and water in the vessel be β€˜7x’ liters and β€˜2x’ liters respectively. When 90 liters of mixture is taken out, Quantity of milk taken out = (7x/9x)Γ—90 = 70 liters Quantity of water taken out = 90 – 70 = 20 liters According to the question, the new ratio is 4:1:

      So, the initial quantity of water in the vessel = 30Γ—2 = 60 liters.

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