What percentage of total students are studying in the commerce stream in all five colleges together to total no. of students?

Options

A. 0.28
B. 0.3
C. 0.32
D. 0.33

Answer

To solve the problem of finding the percentage of total students studying in the commerce stream across all five colleges, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of students in each stream**:
- First, we need to find the total number of students in each stream (Science, Commerce, and Economics) across all five colleges.

2. **Calculate the total number of students in each stream**:
- **Science**:
- College 1: 300
- College 2: 400
- College 3: 275 (twice, so 275 * 2 = 550)
- College 4: 350
- Total Science = 300 + 400 + 550 + 350 = 1600

- **Commerce**:
- College 1: 250 (twice, so 250 * 2 = 500)
- College 2: 400
- College 3: 325
- College 4: 275
- Total Commerce = 500 + 400 + 325 + 275 = 1500

- **Economics**:
- College 1: 400
- College 2: 500
- College 3: 300
- College 4: 450
- College 5: 250
- Total Economics = 400 + 500 + 300 + 450 + 250 = 1900

3. **Calculate the total number of students across all streams**:
- Total Students = Total Science + Total Commerce + Total Economics
- Total Students = 1600 + 1500 + 1900 = 5000

4. **Calculate the percentage of students in the commerce stream**:
- Percentage of Commerce Students = (Total Commerce Students / Total Students) * 100
- Percentage of Commerce Students = (1500 / 5000) * 100

5. **Simplify the calculation**:
- Cancel out the zeros: (150 / 500) * 100
- Simplifying further: (30 / 100) = 0.3

6. **Convert to percentage**:
- Therefore, the percentage of students studying in the commerce stream is 30%.

### Final Answer:
The percentage of total students studying in the commerce stream across all five colleges is **30%**.