The following table gives the percentage of marks obtained by seven students…
2023
The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. The numbers in brackets give the maximum marks in each subject.
What was the aggregate of marks obtained by Sajal in all the six subjects?
- A.
409
- B.
419
- C.
429
- D.
449
Show answer & explanation
Correct answer: D
When marks are given as a percentage of a subject's maximum, the actual marks scored in that subject equal (percentage / 100) multiplied by the maximum marks for that subject. To find a student's aggregate across several subjects, convert each subject's percentage to actual marks this way, then add all the values together.
For Sajal, read off the percentage in each subject from the table and apply this conversion using that subject's own maximum marks:
Maths: 90% of 150 = 135
Chemistry: 60% of 130 = 78
Physics: 70% of 120 = 84
Geography: 70% of 100 = 70
History: 90% of 60 = 54
Computer Science: 70% of 40 = 28
Adding these six marks gives the aggregate: 135 + 78 + 84 + 70 + 54 + 28 = 449.
As an independent check, the six subjects' maximum marks add up to 600, so Sajal's aggregate of 449 corresponds to an overall percentage of about 74.8%, which sits comfortably within the range of Sajal's individual subject percentages (60% to 90%) -- confirming the total is reasonable.
