From a cask of milk containing 40 litres, 8 litres are drawn out and is replaced with water. If the same process is repeated two more times, how many litres of milk will be left in the cask?

20.48 L

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0.512 L

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16 L

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24 L

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Solution

The correct option is A 20.48 L
The required quantity $= 40 \times ({(1 - \frac{(r e m o v e d q u a n t i t y)}{(o r i g i n a l q u a n t i t y)})}^{n} = 40 \times {(1 - \frac{8}{40})}^{3} = 40 \times (0.8)^{3}$ Required quantity $= 40 \times 0.512 = 20.48$ L

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From a cask of milk containing 40 litres, 8 litres are drawn out and is replaced with water. If the same process is repeated two more times, how many litres of milk will be left in the cask?

The correct option is A 20.48 LThe required quantity =40×((1−(removedquantity)(originalquantity))n=40×(1−840)3=40×(0.8)3 Required quantity =40×0.512=20.48 L

The correct option is A 20.48 L
The required quantity $= 40 \times ({(1 - \frac{(r e m o v e d q u a n t i t y)}{(o r i g i n a l q u a n t i t y)})}^{n} = 40 \times {(1 - \frac{8}{40})}^{3} = 40 \times (0.8)^{3}$ Required quantity $= 40 \times 0.512 = 20.48$ L