Question

A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?

• A. 2
• B. 3
• C. 4
• D. 5

Hint:

Convert ratios to actual values using a scale factor, then compare each to the passing threshold.

Answer 1

The Correct Option is C

Let maximum marks in each subject be $M$. Marks obtained are proportional to $10k, 9k, 8k, 7k, 6k$. Aggregate 60% $\Rightarrow \frac{(10+9+8+7+6)k}{5M} = 0.6 \Rightarrow \frac{40k}{5M} = 0.6 \Rightarrow k = 0.075M$. Marks in each subject: $0.75M$, $0.675M$, $0.6M$, $0.525M$, $0.45M$. Passing marks = $0.5M$. Thus, four subjects have scores above passing marks.