There are total 200 students in a school, of which `(2)/(5)th` are boys. Find the number of girls in the school

Options

A. 100
B. 60
C. 120
D. 80

Answer

To solve the problem, we need to find the number of girls in a school where there are a total of 200 students, and \( \frac{2}{5} \) of them are boys.

### Step-by-step Solution:

1. **Identify the total number of students**:
- The total number of students in the school is given as 200.

2. **Calculate the number of boys**:
- We know that \( \frac{2}{5} \) of the total students are boys.
- To find the number of boys, we multiply the total number of students by \( \frac{2}{5} \):
\[ \text{Number of boys} = \frac{2}{5} \times 200 \]

3. **Perform the multiplication**:
- Calculate \( \frac{2}{5} \times 200 \):
\[ \text{Number of boys} = \frac{2 \times 200}{5} = \frac{400}{5} = 80 \]

4. **Calculate the number of girls**:
- To find the number of girls, we subtract the number of boys from the total number of students:
\[ \text{Number of girls} = \text{Total students} - \text{Number of boys} \]
\[ \text{Number of girls} = 200 - 80 \]

5. **Perform the subtraction**:
- Calculate \( 200 - 80 \):
\[ \text{Number of girls} = 120 \]

6. **Final Answer**:
- The number of girls in the school is 120.