In a hall, `(1)/(3)` of the people were females and `(1)/(2)` of those females were school girls. If the total number of people were 600, then how many school girls were there in the hall?

Options

A. 200
B. 100
C. 400
D. 150

Answer

To solve the problem step by step, we will follow these calculations:

1. **Identify the total number of people in the hall.**
- Given: Total number of people = 600.

2. **Calculate the number of females in the hall.**
- According to the problem, \( \frac{1}{3} \) of the total people are females.
- Calculation:
\[ \text{Number of females} = \frac{1}{3} \times 600 = 200 \]

3. **Calculate the number of school girls among the females.**
- The problem states that \( \frac{1}{2} \) of the females are school girls.
- Calculation:
\[ \text{Number of school girls} = \frac{1}{2} \times 200 = 100 \]

4. **Final Answer:**
- The total number of school girls in the hall is 100.

### Summary of the Solution:
- Total number of people = 600
- Number of females = \( \frac{1}{3} \times 600 = 200 \)
- Number of school girls = \( \frac{1}{2} \times 200 = 100 \)