A vessel has 500 ml of pure milk. From these vessels 50 ml of the milk is removed and 50 ml of water poured into the vessel. If this operation is repeated 2 more times, what is the percentage of milk in the vessel at the end?

Correct option is C

We are given a vessel containing 500 ml of pure milk. The process involves:

1. Removing 50 ml of milk and replacing it with 50 ml of water.

2. Repeating the process two more times (for a total of three operations).

3. We need to find the final percentage of milk in the vessel.

Understanding the Dilution Formula

Each time we remove 50 ml of milk and replace it with water, the remaining milk follows an exponential decay pattern:

where:

• Initial milk = 500 ml

• Removed amount = 50 ml

• Total volume = 500 ml

• Number of operations (n) = 3

Apply the Formula

Calculate the Percentage of Milk