(1) Sometimes apollumi simply means to be lost. It is so used in the three “lost” parables in Luke 15, to designate the lost sheep, the lost coin, and the lost son. In the case of the sin, his being lost meant that he was lost to the fellowship of his father since he went against his father’s purpose.
(2) The word apollumi may be applied in a somewhat related way to mean become useless. So in Matthew 9:17 it is used to show what happens to old wineskins when you pour new wine into them: the skins