If from college `B` in `2007`, `80 %` of the students enrolled appeared in a competitive examination, out of which `75 %` students passed, how many students passed the examination?

Options

A. 180
B. 216
C. 270
D. 240

Answer

To solve the problem step by step, we will follow the information provided in the question and the calculations outlined in the video transcript.

### Step-by-Step Solution:

1. **Identify the total number of students enrolled in college B**:
- From the problem, we know that the total number of students enrolled in college B in 2007 is **360**.

2. **Calculate the number of students who appeared for the examination**:
- According to the question, **80%** of the enrolled students appeared for the competitive examination.
- To find the number of students who appeared, we calculate:
\[ \text{Number of students appeared} = 80\% \text{ of } 360 = \frac{80}{100} \times 360 \]
- Simplifying this:
\[ = 0.8 \times 360 = 288 \]
- Thus, **288 students** appeared for the examination.

3. **Calculate the number of students who passed the examination**:
- Out of the students who appeared, **75%** passed the examination.
- To find the number of students who passed, we calculate:
\[ \text{Number of students passed} = 75\% \text{ of } 288 = \frac{75}{100} \times 288 \]
- Simplifying this:
\[ = 0.75 \times 288 = 216 \]
- Therefore, **216 students** passed the examination.

### Final Answer:
The number of students who passed the examination is **216**.

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