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The students in three classes are in the ratio 2 : 3 : 5. If 40 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally, the total number of students was :
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- 100
- 180
- 200
- 400
Correct Option: C
Let the number of students in three classes be 2x, 3x and 5x respectively.
Due to increase of 40 students in each class, we have
| = | = | ||
| 3x + 40 | 5 |
⇒ 10x + 200 = 12x + 160
⇒ 2x = 200 – 160 ⇒ 2x = 40
⇒ x = 20
∴ Original strength
= 10x = 10 × 20 = 200
