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      Question

      The ratio of milk to water in a mixture is 10:3. 39

      litres of mixture is taken out and 9 litres of water is added in the remaining mixture. If now the milk becomes twice the water, find the initial quantity of water.
      A 12.5 litres Correct Answer Incorrect Answer
      B 22.5 litres Correct Answer Incorrect Answer
      C 28.5 litres Correct Answer Incorrect Answer
      D 18.5 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let milk = 10x litres Water = 3x litres Milk in 39 litres of mixture = (39/13) × 10 = 30 litres Water in 39 litres of mixture = (39/13) × 3 = 9 litres According to the question, (10x – 30) = 2 × (3x – 9 + 9) 10x – 30 = 6x 4x = 30 x = 7.5 Water in the initial mixture = 3 × 7.5 = 22.5 litres

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