personal matters vs personal business

personal matters and personal business both are nouns.

Word	Noun	Adjective	Verb	Adverb
personal matters	Yes	No	No	No
personal business	Yes	No	No	No

As nouns, personal matters and personal business are synonyms defined as:

Other synonyms of personal matters include affairs.

personal matters (noun)	personal business (noun)
matters of personal concern	matters of personal concern