Eighty players numbered I through 80 are standing in a row, one behind the other, in the increasing order of their numbers. The physical director of the players performed eight successive inspections of the players and in each of the respective inspections he sent the first 10, 20, 30, 40, 50, 60, 70 and 80 players, from the front of the row to the end of the row. Each time the players being sent back one after another. After these eight rounds of inspections what is the position of the player numbered 5?
Every time I solve it I gets confused, but still is there any general solution to this problem