A candidate who scores 20% of the maximum marks in an examination fails by 30 marks. But another candidate who scores 32% marks gets 42 marks more than the required marks to pass. Find the maximum number of marks.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 600.
Let the maximum number of marks be 100x
A candidate who gets 20% of the marks in an examination fails by 30 marks
Passing marks = 20% of 100x + 30
Another candidate who gets 32% marks, gets 42 marks more than necessary for passing
Passing marks = 32% of 100x - 42
Thus,
⇒ 20x + 30 = 32x - 42
⇒ 32x - 20x = 42 + 30
⇒ 12x = 72
⇒ 1x = 72/12 = 6
⇒ 100x = 600
Thus, The maximum marks = 600