Discussion
A student who scored 30% marks in the first paper of Physics out of 180 marks, has to get an overall score of at least 50% in two papers. The second paper is of 150 marks. The percentage of marks he should score in the second paper to get the overall average score is __________ .
Answer: C
He must score 74% in the second paper.
The two papers together carry 180 + 150 = 330 marks, and 50% of that is 165. In the first paper he scored 30% of 180:
\[ \begin{aligned} 0.30 \times 180 &= 54 \\ 165 - 54 &= 111 \\ \frac{111}{150} \times 100 &= 74\% \end{aligned} \]
So he needs 111 out of 150 in the second paper. A common slip is to average percentages, \(2 \times 50 - 30 = 70\%\), which ignores that the papers carry different maximum marks; that gives the 70% option.
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