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A candidate who gets 20% marks in an examination fails by 30 marks but another candidate who gets 32% gets 42 marks more than the passing marks. Then the percentage of pass marks is :
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- 52%
- 50%
- 33%
- 25%
Correct Option: D
Difference of percentages of maximum marks obtained by two
candidates = 32% – 20% = 12%
Difference of scores between two candidates = 30 +42 = 72
∴ 12% of maximum marks = 72
∴ Maximum marks
| = | = 600 | 12 |
∴ Pass marks = 20% of 600 + 30
= 120 + 30 = 150
∴ Required percentage
| = | × 100 = 25% | 600 |
Aliter : Using Rule 22,
n = 32%, m=20%, p=30, q = 42.
| Full Marks = | × (p + q) | n - m |
| = | × (30 + 42) | 32 - 20 |
| = | × 72 = 600 | 12 |
Pass marks =20% of 600 + 30
= 120 + 30 = 150
∴ Required percentage
| = | × 100 = 25% | 600 |
