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      Question

      In a vessel, milk and water are present in the ratio 7:4.

      If 18 ml of the solution is removed and replaced with 12 ml of milk, the new milk to water ratio becomes 5:2. Find the original volume of the solution.
      A 19 ml Correct Answer Incorrect Answer
      B 30 ml Correct Answer Incorrect Answer
      C 62 ml Correct Answer Incorrect Answer
      D 15 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let milk and water after removal = 7x ml and 4x ml.

      Milk after adding 12 ml = (7x + 12) ml

      ATQ,

      {(7x + 12) / 4x} = 5/2

      So, 14x + 24 = 20x

      So, 20x - 14x = 24

      So, 6x = 24

      So, x = 4

      So, total quantity = 7×4 + 4×4 + 18 = 28 + 16 + 18 = 62 ml

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