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In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13, the number of officers in the regiment before battle was
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- 31
- 38
- 21
- 28
Correct Option: C
Before battle,
Officers ⇒ 3x
Soldiers ⇒ 31x
According to the question,
After battle,
| = | ||
| 31x − 22 | 13 |
⇒ 39x – 78 = 31x – 22
⇒ 39x – 31x = 78 – 22
⇒ 8x = 56
| ⇒ x = | = 7 | |
| 8 |
∴ Required number of officers
= 3 × 7 = 21
