In a class test, a student scores 22 marks out of a maximum of 25 marks. Express the student's score as a percentage of the total marks.

Introduction / Context:
This question asks you to convert a simple fraction of marks obtained into a percentage score. Such conversions are extremely common in exams, grading systems, and everyday performance evaluations, so it is important to be comfortable with them.

Given Data / Assumptions:

• Marks obtained by the student = 22.
• Maximum possible marks = 25.
• We need to express 22 out of 25 as a percentage.

Concept / Approach:
Percentage is defined as (part / whole) * 100. Here, the part is the marks obtained and the whole is the maximum marks. Therefore, percentage score = (marks obtained / maximum marks) * 100. We simply substitute the given numbers and simplify the fraction.

Step-by-Step Solution:
Step 1: Use the percentage formula: percentage = (22 / 25) * 100. Step 2: Simplify the fraction 22 / 25. Step 3: Multiply numerator and denominator by 4 to get (88 / 100). Step 4: Now (88 / 100) * 100 = 88. Step 5: Therefore the student's score is 88 percent.

Verification / Alternative check:
We know 25 percent corresponds to 1 out of 4. Here 22 out of 25 is slightly less than full marks. Since 22 is 3 marks below 25, the score is 3/25 below 100 percent. The fraction 3/25 equals 12 percent, so the score is 100 − 12 = 88 percent, which confirms our calculation.

Why Other Options Are Wrong:

• 90 percent would correspond to 22.5 marks out of 25, not 22 marks.
• 80 percent would correspond to 20 marks out of 25.
• 75 percent would correspond to 18.75 marks, which is quite far from 22.

Common Pitfalls:
Mistakes often happen when handling the fraction or when multiplying by 100. Some learners may incorrectly divide 25 by 22 instead of 22 by 25. Always keep the formula in mind: percentage = (obtained / total) * 100, with the total in the denominator.

Final Answer:
The student’s score is 88% of the total marks.