Would you care for something?

Từ điển Oxford Advanced Learner 8th

Would you care for sth? | Would you care to do sth? idiom
(formal)used to ask sb politely if they would like sth or would like to do sth, or if they would be willing to do sth
•Would you care for another drink?
•If you'd care to follow me, I'll show you where his office is.
Main entry: ↑care_idiom