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…

  1. A.

    92.25 %

  2. B.

    90.75%

  3. C.

    91.5%

  4. D.

    91.25%

Attempted by 1 students.

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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.

  1. 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.

  2. Add them to get the aggregate marks obtained: 92 + 90 + 90 + 93 = 365.

  3. Work out the aggregate maximum marks: 4 papers × 100 marks each = 400.

  4. 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%.

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