Correct Answer - Option 2 : 400
Given:
A candidate scores 30% of maximum marks and fails by 8 marks
And another candidate who scores 35% marks gets 12 marks more than the minimum pass marks
Formula used:
Passing marks = percentage of maximum marks + fails by marks
Passing marks = percentage of maximum marks - more marks than passing.
Calculation:
Let maximum marks be x.
Passing marks = 30% of x + 8 ----(i)
Passing marks = 35% of x - 12 ----(ii)
From equation (i) and equation (ii), we get
30% of x + 8 = 35% of x - 12
⇒ 35% of x - 30% of x = 12 + 8
⇒ 5% of x = 20
⇒ 5x/100 = 20
⇒ x = (20 × 100)/5
⇒ x = 400
∴ The maximum marks is 400.
