In an examination 90% of the student passed and 240 failed. How many students appeared for the examination

Options

A. 2360
B. 2400
C. 2450
D. none of these

Answer

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

### Step 1: Understand the problem
We know that 90% of the students passed the examination, which means that 10% of the students failed. We are also given that the number of students who failed is 240.

### Step 2: Set up the equation
Let the total number of students who appeared for the examination be represented by \( x \). Since 10% of the students failed, we can express this as:
\[ 10\% \text{ of } x = 240 \]
This can be written mathematically as:
\[ \frac{10}{100} \times x = 240 \]

### Step 3: Simplify the equation
To simplify the equation, we can multiply both sides by 100 to eliminate the fraction:
\[ 10x = 24000 \]

### Step 4: Solve for \( x \)
Now, divide both sides by 10 to find \( x \):
\[ x = \frac{24000}{10} = 2400 \]

### Step 5: Conclusion
Thus, the total number of students who appeared for the examination is \( 2400 \).

### Final Answer
The total number of students who appeared for the examination is **2400**.

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