In an exam, 87% students passed and 2093 failed. What is the total number of students ap pearing in the exam?

Options

A. 16100
B. 14007
C. 15200
D. 18200

Answer

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

### Step 1: Understand the percentage of students who passed and failed
We know that 87% of the students passed the exam. Therefore, the percentage of students who failed is:
\[ 100\% - 87\% = 13\% \]

### Step 2: Set up the relationship between failed students and total students
Let the total number of students be \( x \). According to the problem, 13% of the total students failed the exam, which is given as 2093. We can express this relationship mathematically as:
\[ 13\% \text{ of } x = 2093 \]
This can be written as:
\[ \frac{13}{100} \times x = 2093 \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{2093 \times 100}{13} \]

### Step 4: Calculate the value of \( x \)
Now, we can perform the calculation:
\[ x = \frac{209300}{13} \]
Calculating this gives:
\[ x = 16100 \]

### Conclusion
The total number of students who appeared in the exam is:
\[ \boxed{16100} \]