Calculation of Total Number of Students

To calculate the total number of students who appeared for the examination, we need to know the number of students who passed and the number of students who failed. Let's analyze the given information step by step.

Step 1: Calculate the Percentage of Students who Passed

According to the information provided, 96% of students passed the examination. This means that 96 out of 100 students passed. We can represent this as a fraction:

96/100 = 0.96

Step 2: Calculate the Number of Students who Failed

It is mentioned that 50 students failed the examination.

Step 3: Calculate the Total Number of Students

To find the total number of students who appeared for the examination, we can use the formula:

Total Number of Students = (Number of Students who Passed / Percentage of Students who Passed) * 100

Substituting the values we have:

Total Number of Students = (50 / 0.96) * 100

Calculating this expression:

Total Number of Students = 5208.33

As we cannot have a fraction of a student, we need to round up the result to the nearest whole number:

Total Number of Students = 5209

Therefore, the total number of students who appeared for the examination is 5209.

Explanation:

To calculate the total number of students, we used the fact that 96% of students passed the examination. By converting this percentage to a fraction, we determined that 96 out of 100 students passed. We also knew that 50 students failed. By applying the formula for finding the total number of students, we obtained the result. It is essential to round up the result to the nearest whole number since we cannot have a fraction of a student.