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  • Question
  • From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:


  • Options
  • A. 15
  • B. 16
  • C. 25
  • D. 31

  • Correct Answer
  • 15 

    Explanation

    Let quantity of mixture be x liters.

     

    Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid =  x 1 - y x n  units, Where n = no of operations . 

     

    So, Quantity of Milk =  x 1 - 6 x 2   

     

    Given that, Milk : Water = 9 : 16 

     

    => Milk : (Milk + Water) = 9 : (9+16)

     

    => Milk : Mixture = 9 : 25 

     

     Therefore,  x 1 - 6 x 2 x = 9 25

     

    => x = 15 liters


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    • 2. 
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    • 3. 
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    • Options
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