. A milkman adds 100 ml of water to every 1 liter of milk. He claims to make a profit of 25%. Find the actual gain percent.

Let's break down the problem step by step:

1. **Milkman's Mixture**:
   - For every 1 liter of milk, the milkman adds 100 ml of water. This means the total mixture is 1 liter (1000 ml) of milk + 100 ml of water = 1100 ml (or 1.1 liters) of total mixture.
   
2. **Cost Consideration**:
   - Assume the cost price (C.P.) of 1 liter of pure milk is \( x \) units of currency.

3. **Selling Price and Profit**:
   - The milkman claims a profit of 25%. Therefore, the selling price (S.P.) of 1 liter of **mixture** is \( S.P. = (1 + 0.25) \times C.P. = 1.25x \).

4. **Actual Cost for the Milkman**:
   - Out of the 1.1 liters of mixture, 1 liter is milk and 0.1 liters is water (which costs nothing to the milkman). Hence, the actual cost for the milkman is just the cost of the milk, i.e., \( C.P. = x \) (since the water is free).

5. **Selling Price of the 1.1 Liter Mixture**:
   - Since the milkman sells the whole 1.1 liters at the rate of \( 1.25x \) per liter, the selling price of the 1.1 liters is \( 1.25x \times 1.1 = 1.375x \).

6. **Gain**:
   - The milkman’s cost for 1 liter of milk is \( x \), but he sells 1.1 liters of mixture for \( 1.375x \).
   - Therefore, the actual gain is:
     \[
     \text{Gain} = 1.375x - x = 0.375x
     \]

7. **Actual Gain Percent**:
   - The actual gain percentage is calculated as:
     \[
     \text{Gain Percent} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 = \left( \frac{0.375x}{x} \right) \times 100 = 37.5\%
     \]

### Conclusion:
The actual gain percent is **37.5%**.

Would you like further details on this solution? Here are some related questions:

1. What would happen to the gain percent if the milkman added 200 ml

A milkman adds 100 ml of water to every 1 liter of milk. He claims to make a profit of 25%. Find the actual gain percent.

Solve the problem where a milkman adds 100 ml of water to 1 liter of milk and claims a 25% profit. Learn how to calculate the actual gain percent using profit and loss formulas and percentage concepts. Suitable for Grades 9-12 students.

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