A vessel contains 40 liters of milk. From this vessel, 4 liters of milk is taken out and replaced by water. This process is repeated one more time. What is the ratio of milk to water in the final mixture?
Show answer & explanation
Correct answer: A
Explanation
Given:
Total milk = 40 L
Mixture withdrawn = 4 L
Process repeated = 2 times
According to the formula:
Remaining milk = V(1 − x/V)ⁿ
Remaining milk = 40(1 − 4/40)²
= 40(1 − 0.1)²
= 40(0.9)²
= 40 × 0.81
= 32.4 L
Water = 40 − 32.4 = 7.6 L
Ratio:
Milk : Water = 32.4 : 7.6 = 324 : 76 = 81 : 19