A container can hold 50 liters of milk. First, 5 liters of milk are removed and the same amount of water is poured in to refill the container. The mixture is then thoroughly stirred. This entire process of removing 5 liters of liquid and replacing it with water is carried out once again.
After these two successive operations, how many liters of pure milk remain in the container?
Show answer & explanation
Correct answer: C
Explanation
Capacity of the vessel = 50 L
Liquid withdrawn = 5 L
Process repeated = 2 times
Remaining milk = 50(1 − 5/50)²
= 50(1 − 0.1)²
= 50(0.9)²
= 50 × 0.81
= 40.5 liters