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      Question

      A vessel contains mixture of milk and water mixed

      in the ratio 8:3, respectively. 121 litres of the mixture is replaced with 50 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 247 litres Correct Answer Incorrect Answer
      B 231 litres Correct Answer Incorrect Answer
      C 238 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 8x litres and 3x litres respectively.
      121 litres mixture contains 88 litres milk and 33 litres water.
      According to question:
      8x – 88 = 3x – 33 + 50
      5x = 105
      x = 21
      So the initial quantity of mixture = 11 × 21 = 231 litres

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