know little and care less (about someone or something)
To have very little knowledge and absolutely no concern about someone or something. A: "Don't you have any family who would take you in?" A: "I had a half-brother who lived upstate, but the last time I checked, he knew little and cared less about what happens to me."
know little (or nothing) and care less
be completely unconcerned about something; be studiously ignorant.