In a hostel of 100 students, provision was sufficient for 30 days. After one week some more students were admitted, and the provision was consumed 3 days earlier. Find the number of students newly admitted.

Number of days for which the provisions would last initially = 30

The number of days for which the

provisions would last after new students joined = (30 - 3) days

= 27 days

So the number of students for which the provisions would last for 30 days = 100

Then

The number of students for which the provision would last for 1 day = (100/30)

= 10/3

So

The number of students for which the provision would last for 27 days = (10/3) * 27

= 90

So

The number of students that were admitted later = 100 - 90

= 10

So 10 students were admitted after one week.