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      Question

      A mixture contains alcohol and water in the ratio 5:4.

      When 30% of this mixture is transferred to container C, the amount of alcohol in container C is 6 litres. If 15 litres of alcohol and 12 litres of water are then added to the initial mixture, find the resulting ratio of alcohol to water.
      A 5:4 Correct Answer Incorrect Answer
      B 2:5 Correct Answer Incorrect Answer
      C 1:1 Correct Answer Incorrect Answer
      D 2:3 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the initial quantities be 5x litres (alcohol) and 4x litres (water). According to the question, 0.30 × 5x = 6 ⇒ 5x = 20 ⇒ x = 4 litres Required ratio = (5x + 15) : (4x + 12) = 35 : 28 = 5 : 4

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