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      Question

      A mixture contains wine and water in the ratio 5:6. After

      removing 132 ml of mixture and adding 264 ml of water, the amount of water becomes 100% more than that of wine. Find the original quantity of mixture.
      A 754 ml Correct Answer Incorrect Answer
      B 858 ml Correct Answer Incorrect Answer
      C 650 ml Correct Answer Incorrect Answer
      D 756 ml Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let amount of wine and water in the original mixture be 5x ml and 6x ml respectively.

      Amount of wine in 132 ml of mixture = 5/11 × 132 = 60 ml

      Amount of water in 132 ml of mixture = 132 – 60 = 72 ml

      According to the question:

      (6x – 72 + 264) = 2 × (5x – 60)

      Or, 6x + 192 = 10x – 120

      Or, 4x = 312

      Or, x = 78

      Original quantity of mixture = 11x = 11 × 78 = 858 ml

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