. 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 solve this step-by-step.

### Given Information:
- The milkman adds 100 ml of water to every 1 liter of milk.
- This means for every 1 liter (1000 ml) of milk, there is an additional 100 ml of water.
- He claims to make a **25% profit**.

### Step 1: Understand the setup
- If 1000 ml of milk is mixed with 100 ml of water, the total mixture becomes \( 1000 + 100 = 1100 \, \text{ml} \).
- So, for every 1100 ml of the mixture, 1000 ml is pure milk and 100 ml is water.

### Step 2: What is sold as 1 liter?
The milkman sells **1100 ml** of this mixture as 1 liter (which is 1000 ml). However, in this 1100 ml, only 1000 ml is pure milk, and 100 ml is water.

Thus, he is selling 1100 ml but only providing the value of 1000 ml of milk.

### Step 3: Profit calculation
Now, let's calculate the **actual gain percentage**.

- Let's assume the cost price (C.P.) of 1 liter (1000 ml) of milk is **₹100**.
- Since the milkman sells 1100 ml (which includes 100 ml of free water), the **Selling Price (S.P.)** is calculated based on his claim of **25% profit**.

The selling price with a 25% profit on ₹100 would be:

\[
S.P. = 100 + 25 = ₹125
\]

### Step 4: Find the actual cost of the milk sold
Out of the 1100 ml of mixture he sells, only **1000 ml is pure milk**. Therefore, the **actual cost** of the milk sold is ₹100, but he sells it for ₹125.

The amount he adds for free is the 100 ml of water.

### Step 5: Calculate the actual gain percent
Now, the profit he makes is:

\[
\text{Profit} = \text{Selling Price} - \text{Cost Price} = 125 - 100 = ₹25
\]

Thus, the **actual gain percentage** is:

\[
\text{Gain Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 = \left( \frac{25}{100} \right) \times 100 = 25\%
\]

Therefore, the actual **gain percentage** remains **25%**. Even though water is added, the milkman's profit is still based on his claimed selling price for pure milk.

Would you like further clarification or more details on any part of this process?

### Related Questions:
1. What would the profit be if the milkman adds 200 ml of water instead of 100 ml?
2. How would the profit change if the selling price remains the same, but the cost price increases by 10%?
3. If the cost price of 1 liter of milk changes, how would you recalculate the gain percentage?
4. How does the addition of water impact the milk-to-water ratio?
5. What would be the selling price for a 50% gain?

### Tip:
When calculating profits or gains with mixtures, always differentiate between the actual amount of the product and the total mixture to avoid confusion!

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.

Learn how to calculate the actual gain percentage when a milkman adds 100 ml of water to every 1 liter of milk and claims a 25% profit. This problem covers essential concepts like profit, percentage, and mixtures, suitable for students in Grades 8-10.

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