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Sanny got 45% of the total marks in an exam and failed by 75 marks. If he gets 65% of the total marks, he will get 25 marks more than passing marks. Find the passing percentage.


1. 60%
2. 55%
3. 75%
4. 40%

1 Answer

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Best answer
Correct Answer - Option 1 : 60%

Given:

First case: Sanny got marks = 45% of the total marks

But he failed by 75 marks

Second case: If he gets = 65% 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

Passing percentage = (passing marks/total marks) × 100

Calculation:

Let the total marks be x.

Passing marks in the first case  = [(45/100) × x] + 75

⇒ 0.45x + 75      ----(i)

And Passing marks in the second case = [(65/100) × x] - 25

⇒ 0.65x - 25      ----(ii)

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

0.65x - 25 = 0.45x + 75

⇒ 0.65x - 0.45x = 75 + 25

⇒ 0.20x = 100

⇒ x = 100/0.20

⇒ x = 500 marks 

Passing marks = 0.45x + 75

⇒ 0.45 × 500 + 75

⇒ 225 + 75

⇒ 300 marks

Passing percentage = (300/500) × 100

⇒ 300/5

⇒ 60%   

∴ The passing percentage is 60%  

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