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Q.
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:
A.
15
B.
16
C.
25
D.
31
View Answer
Correct choice: A
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(1−6x)2x=925=> x = 15 liters
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