In a hostel, there was sufficient food for 200 students for 31 days. After 27 days 120 students left the hostel. For how many extra days will the rest of food last for remaining students:

In a hostel, there was sufficient food for 200 students for 31 days. After 27 days 120 students left the hostel. For how many extra days will the rest of food last for remaining students:

Explanation

There was sufficient food for 200 student for 31 days. After 27 days 120 days student left

So remaining students =200−120=80

Remaining days =31−27=4 days

Now there is sufficient food for 200 students for days. 

∵ 1 student can take the food =200×4 days

∴ 80 student can take the food = 

80

200×4

 =10 days

Extra days =10−4=6 days