Correct Answer - Option 1 : 500
Given:
First case: Radha got marks = 225 marks out of the maximum marks
But she failed by 50 marks
Second case: If she gets = 60% of the maximum marks
Then she will get 25 marks more than passing marks.
Concept used:
If a candidate got x marks and failed by y marks, then passing marks = x + y
If a candidate got x marks and got y marks more than passing marks, then passing marks = x - y
Solution:
Let the maximum marks be x.
Passing marks in the first case = 225 + 50
⇒ 275 ----(i)
And Passing marks in the second case = [(60/100) × x] - 25
⇒ 0.6x - 25 ----(ii)
From equation (i) and (ii), we get,
0.6x - 25 = 275
⇒ 0.6x = 275 + 25
⇒ 0.6x = 300
⇒ x = 300/0.6
⇒ x = 500 marks
∴ The maximum marks for an exam is 500
