Overall exam percentage: Mathew scored Biology 42, Chemistry 51, Mathematics 58, Physics 35, and English 48. The maximum in each subject is 60. What is Mathew’s overall percentage?

Introduction / Context:
Overall percentage is computed as total obtained marks divided by total maximum marks multiplied by 100%. Summing subject-wise scores first avoids repeated percentage calculations and minimizes rounding error.

Given Data / Assumptions:

• Scores: 42, 51, 58, 35, 48.
• Maximum per subject = 60; five subjects total maximum = 5 * 60 = 300.

Concept / Approach:
Compute the aggregate and then the fraction of maximum. This one-step aggregate method is clearer than averaging individual percentages and then averaging again.

Step-by-Step Solution:

Verification / Alternative check:
Average per subject = 234/5 = 46.8. As a fraction of 60, 46.8/60 = 0.78 = 78%, consistent.

Why Other Options Are Wrong:

• 76%, 82%, 68%: Do not match 234/300 exactly.

Common Pitfalls:
Miscalculating the total or maximum, or averaging percentages per subject incorrectly. Always compute with totals when all subjects have the same maximum.

Final Answer: