40% of the population of a town are men and 35% are women. If the number of children are 20000, then the number of men will be:

Options

A. 3200
B. 80000
C. 32000
D. `3,20,000`

Answer

To find the number of men in the town, we can follow these steps:

### Step 1: Understand the population percentages
We know that:
- 40% of the population are men.
- 35% of the population are women.
- The remaining population consists of children.

### Step 2: Calculate the percentage of children
The total percentage of men and women is:
\[ 40\% + 35\% = 75\% \]
This means that the percentage of children in the town is:
\[ 100\% - 75\% = 25\% \]

### Step 3: Relate the percentage of children to the actual number
We are given that the number of children is 20,000, which represents 25% of the total population. We can set up the equation to find the total population (let's denote it as \( P \)):
\[ 25\% \text{ of } P = 20,000 \]
This can be rewritten as:
\[ \frac{25}{100} \times P = 20,000 \]

### Step 4: Solve for total population \( P \)
To find \( P \), we can rearrange the equation:
\[ P = 20,000 \times \frac{100}{25} \]
Calculating this gives:
\[ P = 20,000 \times 4 = 80,000 \]

### Step 5: Calculate the number of men
Now that we have the total population, we can find the number of men:
\[ \text{Number of men} = 40\% \text{ of } P \]
This can be calculated as:
\[ \text{Number of men} = \frac{40}{100} \times 80,000 \]
Calculating this gives:
\[ \text{Number of men} = 32,000 \]

### Final Answer
The number of men in the town is **32,000**.

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