X scores 10% of the maximum marks and fails by 30 marks. Y scores 40% of the maximum marks and gets 30 marks more than the minimum marks needed to pass. What are the maximum marks for the exam?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 200
The pass mark is the same for both candidates: X is 30 below it and Y is 30 above it. So the gap between their scores is \(30+30=60\) marks.
Gap in percentage \(=40\%-10\%=30\%\) of the maximum marks
30% of the maximum marks \(=60\)
Maximum marks \(\displaystyle =\frac{60\times100}{30}=200\)
The maximum marks are 200 (and the pass mark is \(20+30=50\)).