1000 soldiers in a fort had enough food provision for 20 days. But some soldiers were transferred to another fort and the same food provision lasted for 25 days. How many soldiers were transferred?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 200
The food in the fort is a fixed amount, which can be counted in soldier-days (soldiers × days). The same food feeds fewer soldiers for proportionally more days, so the number who can stay for 25 days is the food divided by 25.
Food available \(=1000\times20=20000\) soldier-days
Soldiers this food feeds for 25 days \(\displaystyle =\frac{20000}{25}=800\)
Soldiers transferred \(=1000-800=200\)