A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

Options

A. a. 29.63 litres
B. b. 24.52 litres
C. c. 25.14 litres
D. d. 28.21 litres

Explanation

To solve the problem step by step, we will analyze the process of replacing milk with water in the container.

### Step 1: Initial Setup
The container initially contains 50 liters of milk.

### Step 2: First Replacement
- We take out 8 liters of milk.
- The amount of milk left in the container after this operation is:
\[ 50 - 8 = 42 \text{ liters of milk} \]
- We then replace the 8 liters taken out with water, so the total volume remains 50 liters, but now we have 42 liters of milk and 8 liters of water.

### Step 3: Second Replacement
- Again, we take out 8 liters from the container. The proportion of milk in the container now is:
\[ \frac{42}{50} \]
- The amount of milk taken out during this operation is:
\[ 8 \times \frac{42}{50} = \frac{336}{50} = 6.72 \text{ liters of milk} \]
- The amount of milk left after this operation is:
\[ 42 - 6.72 = 35.28 \text{ liters of milk} \]
- We replace the 8 liters taken out with water again, keeping the total volume at 50 liters.

### Step 4: Third Replacement
- We take out 8 liters again. The proportion of milk in the container now is:
\[ \frac{35.28}{50} \]
- The amount of milk taken out during this operation is:
\[ 8 \times \frac{35.28}{50} = \frac{282.24}{50} = 5.6448 \text{ liters of milk} \]
- The amount of milk left after this operation is:
\[ 35.28 - 5.6448 = 29.6352 \text{ liters of milk} \]
- We replace the 8 liters taken out with water again, keeping the total volume at 50 liters.

### Final Result
After three replacements, the amount of milk left in the container is approximately:
\[ \text{Milk remaining} \approx 29.64 \text{ liters} \]

### Summary
The final amount of milk contained in the container after three replacements is approximately **29.64 liters**.