A camp of soldiers has food for 400 days. After 40 days, 150 soldiers leave the camp. As a result. the food can last for 480 days from then onwards. What was the initial number of soldiers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 600
Given:
A camp of soldiers has food for 400 days.
After 40 days, 150 soldiers leave the camp. As a result. the food can last for 480 days from then onwards
Calculations:
Let the number of soldiers be x.
According to the question;
⇒ x × 400 = x × 40 + (x - 150) × 480
⇒ 10x = x + 12x - 12 × 150
⇒ 13x - 10x = 12 × 150
⇒ 3x = 12 × 150
⇒ x = 600