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  • Question
  • From a cask of wine containing 25 litres, 5 litres are withdrawn and the cask is refilled with water. The process is repeated a second and then a third time. Find the quantity of wine left in the cask and also the ratio of wine to water in the resulting mixture.


  • Options
  • A. 61 : 64
  • B. 16 : 46
  • C. 46 : 16
  • D. 64 : 61

  • Correct Answer
  • 64 : 61 

    Explanation

    Here, quantity of wine left after third operation
    = [1 - (5 / 25)]3 x 25 = (4 / 5)3 x 25 = (64 / 125) x 25 = (64 / 5) = 12 4/5 liters.
    Final ratio of wine to water = (64 / 125) / (1- 64 /125)
    = (64 / 125) /(61 / 125)
    Wine : Water = (64 / 61)


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