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      Question

      A vessel contains 40 litres of a milk-water mixture in

      the ratio 3:2. If 10 litres of the mixture is removed and replaced by water, then the new ratio of milk to water is:
      A 9:11 Correct Answer Incorrect Answer
      B 11:12 Correct Answer Incorrect Answer
      C 17:15 Correct Answer Incorrect Answer
      D 23:21 Correct Answer Incorrect Answer

      Solution

      Initial milk = 40 x 3/5 = 24 litres Initial water = 40 x 2/5 = 16 litres 10 litres of mixture removed: Milk removed = 10 x 3/5 = 6 litres Water removed = 10 x 2/5 = 4 litres Remaining milk = 24 - 6 = 18 litres Remaining water = 16 - 4 = 12 litres Now 10 litres water is added: Water = 12 + 10 = 22 litres New ratio of milk to water = 18:22 = 9:11

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