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In a quarterly examination, a student secured 30% marks and failed by 12 marks. In the same examination, another student secured 40% marks and got 28 marks more than bare minimum marks to pass. Find the pass percentage.
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- 24%
- 28%
- 25%
- 33%
Correct Option: D
Let the maximum marks be x
| A student scored = | x, and failed by 12 marks. | 100 |
| ∴ Passing marks = | x + 12 | 100 |
| Another student scored = | x | 100 |
and got 28 marks more than passing marks.
| ∴ Passing marks = | x - 28 | 100 |
| ⇒ | x + 12 = | x - 28 | ||
| 100 | 100 |
| ⇒ | x = 40 ⇒ x = 400 | 100 |
∴ Maximum marks = 400
Hence, Passing marks
| ⇒ | × 400 + 12 = 132 | 100 |
∴ Pass percentage
| = | × 100 = 33% | 400 |
The pass percentage = 33%
