SSC CHSL Model Paper 15

Two statements are given, followed by two Conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the Conclusions logically follow(s) from the statements.
Statements :
All teachers are painters.
Some painters are rich.
Conclusions :
I. All painters are teachers.
II. Some rich are not painters.