A boy secures 70%, 40% and 60% marks in test papers with 100, 50 and 150 respectively as maximum marks. The percentage of his aggregate is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 60
The aggregate percentage is total marks obtained out of total maximum marks. The three percentages cannot be averaged directly, because the papers carry different maximum marks.
70% of 100 \(=70\)
40% of 50 \(=20\)
60% of 150 \(=90\)
Total obtained \(=180\) out of \(100+50+150=300\)
Aggregate \(\displaystyle =\frac{180}{300}\times100=60\%\)
Tip: The plain average of 70, 40 and 60 is 56.66, which is Option (3). Percentages of papers with different maximum marks are combined through the marks, never averaged directly.