In a fort there was a food provision for 120 men for 200 days. After 5 days, 30 men moved to another place. How long will the remaining food last?

260 days

According to the question,

Total food provision for one day =120×200 = 24000

After 5 days, food provision is reduced by =120×5=600

So, left food provision = 24000−600 = 23400

After 5 days, men left =120−30=90

So the food provision will last for  =  \(\frac{23400}{90}\) = 260 days more