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The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is
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- 95
- 76
- 100
- 114
Correct Option: B
Let the original number of students be 4x , 6x and 9x.
| ∴ | = | ||
| 6x + 12 | 9 |
⇒ 42x + 84 = 36x + 108
⇒ 42x – 36x = 108 – 84
⇒ 6x = 24
⇒ x = 4
∴ Required number of students
= 19x = 19 × 4 = 76
