in an examination `72%` of the total examinees passed if the number of failures is `392` find the total number of examinees

Options

A. `1300`
B. `1100`
C. `1400`
D. `1500`

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Problem
We know that 72% of the total examinees passed the examination, and the number of failures is given as 392. We need to find the total number of examinees.

### Step 2: Determine the Percentage of Failures
Since 72% of the examinees passed, the percentage of examinees who failed is:
\[ 100\% - 72\% = 28\% \]

### Step 3: Set Up the Equation
Let the total number of examinees be \( x \). According to the problem:
\[ 28\% \text{ of } x = 392 \]
This can be written mathematically as:
\[ \frac{28}{100} \times x = 392 \]

### Step 4: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{392 \times 100}{28} \]

### Step 5: Calculate \( x \)
Now, we can simplify the calculation:
\[ x = \frac{39200}{28} \]
Calculating \( 39200 \div 28 \):
\[ x = 1400 \]

### Step 6: Conclusion
The total number of examinees is \( 1400 \).

### Final Answer
The total number of examinees is **1400**.

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