From a container, 6 liters milk was drawn out and was replaced by water. Again 6

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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 . 25

B . 31

C . 16

D . 15

Answer: Option D

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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