UKMT Senior Challenge-XV

200 people stand in a line. The prize-giver walks along the line 200 times, always starting at the same end. On the first pass, the prize-giver gives each person a pound coin. On the second pass along the line, the prize-giver gives every second person another pound. On the third pass, every third person is given another pound, and so on. After 200 passes, how many pounds has the 120th person been given?

This problem is not original.This problem is part of this set .