Question

Sohan got 30% of the total marks in an exam and failed by 50 marks and Mohan got 45% of the total marks in the same exam and got 25 marks more than passing marks. Find the passing marks.

1. 225
2. 200
3. 300
4. 275

Answer 1

Correct Answer - Option 2 : 200

Given:

First case: Sohan got marks = 30% of the total marks

But he failed by 50 marks

Second case: Mohan got marks = 45% of the total marks

Then he 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

Calculation:

Let the total marks be x.

Passing marks in the first case = [(30/100) × x] + 50

⇒ 0.3x + 50      ----(i)

And Passing marks in the second case = [(45/100) × x] - 25

⇒ 0.45x - 25      ----(ii)

From equation (i) and (ii), we get,

0.45x - 25 = 0.3x + 50

⇒ 0.45x - 0.3x = 50 + 25

⇒ 0.15x = 75

⇒ x = 75/0.15

⇒ x = 500 marks 

Passing marks = 0.3x + 50

⇒ 0.3 × 500 + 50

⇒ 150 + 50

⇒ 200  

∴ The passing marks is 200.