A milkman has two types of milk. In the first container the percentage of milk is `80% `and in the second container the percentage of milk is `60%`. If he mixes 28 ltof milk from the first container and the 32 ltof milk from the second container, then the percentage of milk in the mixture is :

Answer

To find the percentage of milk in the mixture, we can follow these steps:

### Step 1: Calculate the total volume of the mixture
We have two containers:
- From the first container, we take 28 liters of milk.
- From the second container, we take 32 liters of milk.

**Total volume of the mixture = Volume from the first container + Volume from the second container**

\[ \text{Total volume} = 28 \, \text{liters} + 32 \, \text{liters} = 60 \, \text{liters} \]

### Step 2: Calculate the quantity of milk from the first container
The first container has 80% milk. To find the quantity of milk in the 28 liters taken from this container:

\[ \text{Quantity of milk from first container} = 80\% \text{ of } 28 \, \text{liters} = \frac{80}{100} \times 28 = 0.8 \times 28 = 22.4 \, \text{liters} \]

### Step 3: Calculate the quantity of milk from the second container
The second container has 60% milk. To find the quantity of milk in the 32 liters taken from this container:

\[ \text{Quantity of milk from second container} = 60\% \text{ of } 32 \, \text{liters} = \frac{60}{100} \times 32 = 0.6 \times 32 = 19.2 \, \text{liters} \]

### Step 4: Calculate the total quantity of milk in the mixture
Now we add the quantities of milk from both containers:

\[ \text{Total quantity of milk} = \text{Quantity from first container} + \text{Quantity from second container} \]

\[ \text{Total quantity of milk} = 22.4 \, \text{liters} + 19.2 \, \text{liters} = 41.6 \, \text{liters} \]

### Step 5: Calculate the percentage of milk in the mixture
To find the percentage of milk in the mixture, we use the formula:

\[ \text{Percentage of milk} = \left( \frac{\text{Total quantity of milk}}{\text{Total volume of mixture}} \right) \times 100 \]

\[ \text{Percentage of milk} = \left( \frac{41.6}{60} \right) \times 100 \]

\[ \text{Percentage of milk} = 0.6933 \times 100 \approx 69.33\% \]

### Final Answer
The percentage of milk in the mixture is approximately **69.33%**.

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