A student got 30% marks and failed by 13 marks and another student got 44% marks and gets 15 more than the passing marks. Find the maximum mark in a certain examination?
Show answer & explanation
Correct answer: B
Explanation
Let the maximum marks for the exam be x.
Let the passing marks be P.
For the first student,
30x/100 = P − 13
For the second student,
44x/100 = P + 15
Taking the difference between the two equations,
44x/100 − 30x/100 = 15 + 13
14x/100 = 28
14x = 2800
x = 200