What is the overall percentage of Karan?
2024
What is the overall percentage of Karan?
Answer: D. 91.25% — Concept: the overall percentage of a student across several papers is the aggregate of the marks obtained expressed as a fraction of the aggregate maximum…
- A.
92.25 %
- B.
90.75%
- C.
91.5%
- D.
91.25%
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept: the overall percentage of a student across several papers is the aggregate of the marks obtained expressed as a fraction of the aggregate maximum marks, that is, Overall percentage = (total marks obtained ÷ total maximum marks) × 100. It is not obtained by adding up the individual subject percentages; only when every paper carries the same maximum does the calculation collapse into the plain mean of the paper-wise percentages.
Application: apply this definition to the row of the table that belongs to Karan.
Read the four entries in Karan's row of the table: Physics 92, Chemistry 90, Maths 90 and English 93, each marked out of 100.
Add them to get the aggregate marks obtained: 92 + 90 + 90 + 93 = 365.
Work out the aggregate maximum marks: 4 papers × 100 marks each = 400.
Divide and convert to a percentage: (365 ÷ 400) × 100 = 91.25.
Cross-check: because all four papers carry the same maximum of 100, the equal-weight shortcut must agree — (92 + 90 + 90 + 93) ÷ 4 = 365 ÷ 4 = 91.25. Reducing the fraction gives the same reading: 365/400 = 73/80 = 0.9125.
Contrast: each percentage figure on offer answers to a different aggregate out of 400, so the aggregate a candidate computes decides which figure is being described.
Overall percentage | Aggregate it implies (out of 400) |
|---|---|
92.25% | 369 |
91.5% | 366 |
91.25% | 365 |
90.75% | 363 |
Karan's aggregate is 365 out of 400, so his overall percentage is 91.25%.