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

The Correct Option is D

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