In an examination, 35% of the students passed and 455 failed. How many students appeared for the examination?

Options

A. 1440
B. 700
C. 845
D. 1300

Answer

To find the total number of students who appeared for the examination, we can follow these steps:

### Step-by-Step Solution:

1. **Let the total number of students be \( X \)**.
- We are trying to find the total number of students who appeared for the examination.

2. **Determine the number of students who passed**:
- According to the problem, 35% of the students passed. Therefore, the number of students who passed is \( 0.35X \).

3. **Determine the number of students who failed**:
- We know that 455 students failed the examination.

4. **Set up the equation**:
- The total number of students can be expressed as the sum of those who passed and those who failed:
\[ 0.35X + 455 = X \]

5. **Rearranging the equation**:
- To isolate \( X \), subtract \( 0.35X \) from both sides:
\[ 455 = X - 0.35X \]
- This simplifies to:
\[ 455 = 0.65X \]

6. **Solve for \( X \)**:
- Divide both sides by 0.65 to find \( X \):
\[ X = \frac{455}{0.65} \]

7. **Calculate \( X \)**:
- Performing the division:
\[ X = 700 \]

8. **Conclusion**:
- The total number of students who appeared for the examination is \( 700 \).