A man mixes milk and water in the ratio of 5 : 3. What is the percentage of milk in the resulting mixture?

Options

A. 62.5
B. 37.5
C. 67.5
D. 72.5

Answer

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

### Step 1: Identify the ratio of milk to water
The ratio of milk to water is given as 5:3. This means for every 5 parts of milk, there are 3 parts of water.

### Step 2: Calculate the total parts in the mixture
To find the total parts of the mixture, we add the parts of milk and water together:
\[ \text{Total parts} = \text{Parts of milk} + \text{Parts of water} = 5 + 3 = 8 \]

### Step 3: Determine the parts of milk in the mixture
From the ratio, the parts of milk in the mixture is 5.

### Step 4: Calculate the percentage of milk in the mixture
To find the percentage of milk, we use the formula:
\[ \text{Percentage of milk} = \left( \frac{\text{Parts of milk}}{\text{Total parts}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage of milk} = \left( \frac{5}{8} \right) \times 100 \]

### Step 5: Perform the calculation
Calculating the above expression:
\[ \text{Percentage of milk} = 0.625 \times 100 = 62.5\% \]

### Final Answer
The percentage of milk in the resulting mixture is **62.5%**.

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