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The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the college and 50 girls join the college, the ratio becomes 9 : 7. The number of boys in the college is
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- 300
- 400
- 500
- 600
Correct Option: C
Original number of boys = 5x
Original number of girls = 3x
| ∴ | = | ||
| 3x + 50 | 7 |
⇒ 35x – 350 = 27x + 450
⇒ 35x – 27x = 350 + 450
⇒ 8x = 800
⇒ x = 100
Number of boys = 5x
= 5 × 100 = 500
