A man goes to see his former schoolmate working at a boiler house and persuades him to burn in the furnace the corpse of his communal flat neighbor whom he has just murdered after a quarrel. An orphaned girl gets a job in the archives of the maternity home to find out the identity of her mother who abandoned her years earlier. She finds her, befriends her and takes the first opportunity to throw her into the sea. An old intellectual tries to explain to the neighbor’s five-year-old daughter “all the abomination of her lumpen existence”. The girl feeling hurt for her mother decides to poison the old man with arsenic.
A young piano tuner befriends two rich old-ladies, and plots, with the help of his girlfriend, to betray their trust and steal from them.
The movie examines the lives of the not-so-fortunate dregs of society through absurdist comedy. The unfortunates of the title are mentally challenged people, some of whom could be termed insane - or merely inane.