box office vs business office

box office and business office both are nouns.

Word	Noun	Adjective	Verb	Adverb
box office	Yes	No	No	No
business office	Yes	No	No	No

As nouns, business office is a hypernym of box office; that is, business office is a word with a broader meaning than box office:

box office: the office where tickets of admission are sold
business office: place of business where professional or clerical duties are performed

Other hypernyms of box office include office.

box office (noun)	business office (noun)
the office where tickets of admission are sold	place of business where professional or clerical duties are performed
total admission receipts for an entertainment