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The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship, is
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- 50%
- 72%
- 75%
- 76%
Correct Option: D
Let the number of boys = 3k and that of girls = 2k
Number of boys who do not hold scholarship = 80% of 3k
| Number of boys who do not hold scholarship = 3k × | = | |||
| 100 | 5 |
| Number of girls who do not hold scholarship = 2k × | = | |||
| 100 | 10 |
| ∴ Number of students who do not hold scholarship = | + | |||
| 5 | 10 |
| = | 10 |
| Number of students who do not hold scholarship = | 10 |
| ∴ Required percentage = | |
| × 100 | |
| 5k |
| Required percentage = | × 100 = 76% | 10 × 5 |
