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      Question

      In a tank, milk and water are mixed in the ratio 5:2.

      After removing 35 litres of this mixture, 6 litres of water are added. If the resulting mixture has milk twice the water, determine the initial quantity of water.
      A 12 litres Correct Answer Incorrect Answer
      B 48 litres Correct Answer Incorrect Answer
      C 34 litres Correct Answer Incorrect Answer
      D 25 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the quantity of milk initially = 5x litres The quantity of water initially = 2x litres Milk in 35 litres taken out = (35/7) ├Ч 5 = 25 litres Water in 35 litres taken out = (35/7) ├Ч 2 = 10 litres After removal and adding 6 litres of water: Milk = 5x тАУ 25 Water = 2x тАУ 10 + 6 = 2x тАУ 4 Given: milk is double water, 5x тАУ 25 = 2(2x тАУ 4) 5x тАУ 25 = 4x тАУ 8 x = 17 Initial water = 2 ├Ч 17 = 34 litres

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