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      Question

      A vessel contains mixture of milk and water mixed

      in the ratio 11:10, respectively. 63 litres of the mixture is replaced with 10 litres of water such that the quantities of milk and water in the resultant mixture become equal. Find the initial quantity of mixture in the vessel.
      A 273 litres Correct Answer Incorrect Answer
      B 360 litres Correct Answer Incorrect Answer
      C 286 litres Correct Answer Incorrect Answer
      D 240 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the initial quantities of milk and water in the vessel be 11x litres and 10x litres respectively.
      63 litres mixture contains 33 litres milk and 30 litres water.
      According to question:
      11x – 33 = 10x – 30 + 10
      x = 13
      So the initial quantity of mixture = 21 × 13 = 273 litres

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