# A vessel contains 125 litres of wine. 25 litres of wine was taken out of the vessel and replaced by water. Then, 25 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much wine is now left in the vessel?   Option 1)     Option 2)     Option 3)     Option 4)     Option 5)

A vessel contains 125 litres of wine. 25 litres of wine was taken out of the vessel and replaced by water. Then, 25 litres of the mixture were withdrawn and again replaced by water. The operation was repeated for third time. The wine is now left in the vessel is

$X =125\: L, n= 3 Y = 25$

$Final = 125 \times \left ( 1-\frac{25}{125} \right ) ^{3}$

$125\times\left ( \frac{4^{3}}{5^{3}} \right )$

$= 64 \: L$

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