A tub contains 60 litres of milk. From this tub, 6 litres of milk was taken out and replaced with water. This whole process was repeated further two more times. How much milk is there in the tub now?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 43.74 litre
Initial quantity of milk $=60$ litres
Each time $6$ litres are taken out and replaced, so fraction of milk left each time
$=1-\frac{6}{60}=\frac{54}{60}=\frac{9}{10}$
Process is repeated $3$ times
Milk left $=60\left(\frac{9}{10}\right)^3$
$=60\cdot\frac{729}{1000}$
$=\frac{43740}{1000}$
$=43.74$ litres
The quantity of milk left in the tub is $43.74$ litres.