In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?

901.54 ltr
821.54 ltr
719.64 ltr
823.08 ltr

Correct Answer: 823.08 ltr

Explanation:

Amount of pure milk= a(1 –b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 –48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.

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