A candidate scores 25% marks and fails by 68 marks, while another candidate, who scores 50% marks, gets 42 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 440.
Let maximum marks = x, and passing marks = p.
Candidate A scored 25% of x = 0.25x, and failed by 68 marks → p = 0.25x + 68
Candidate B scored 50% of x = 0.50x, and exceeded passing by 42 marks → p = 0.50x − 42
Set equal:
0.25x + 68 = 0.50x − 42
⇒ 110 = 0.25x
⇒ x = 440