Correct Answer - Option 2 : 101.13
Given:
Quantity of pure milk = 144 liters
16 liters of milk is replaced by water 3 times.
Formula used:
Suppose a container contains A units of a liquid from which B units are taken out and replaced by water.
After n operations, operations, operations,
Quantity of pure liquid in the final mixture = A {1 – (B/A)}n
Calculation:
According to the question,
Quantity of pure milk in the final mixture = A {1 – (B/A)}n
⇒ 144 × {1 – (16/144)}3
⇒ 144 × {1 – (1/9)}3
⇒ 144 × (8/9)]3
⇒ 144 × (512/729)
⇒ 101.13
∴ The final quantity of the milk is 101.13 liters.