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:
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−yx)n
units, Where n = no of operations .
So, Quantity of Milk = x(1−6x)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
Hence, option 3 is the correct answer.
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By: Amit Kumar