Question

Peter got 30% of the maximum marks in an examination and failed by 10 marks. However. Paul who took the some examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?

• A. 35
• B. 250
• C. 75
• D. 85

Answer 1

Answer: (D)

85

Answer 2

Let maximum marks in the examination be $100x$ and passing marks be $y$
Peter got 30% of the maximum marks, =$30x+10=y$-----(i)
Similarly, for Paul =$40x-15=y$----(ii)
Subtracting equation (i) from (ii) =$10x=25$
$x=2.5$
Substituting it in equation (ii), we get : Passing marks =$y=85$
The correct answer is (D) :85