In a school having roll strength 286, the ratio of boys and girls is 8:5. If 22 more girls get admitted into the school, the ratio of boys and girls becomes?
- 4:3
- 12:7
- 10:7
- None of these
Explanation
Initial ratio: Boys:Girls = 8:5
After 22 more girls join:
Boys = 8x, Girls = 5x + 22 (where x is a constant)
Total students = 286 + 22 = 308
8x + 5x + 22 = 308
13x = 286
x = 22
Boys = 8x = 176
Girls = 5x + 22 = 132
New ratio = Boys:Girls = 176:132 = 4:3 (after simplification)
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