Lilian is correct, but there is more to be added.
~라고 is simply used for quoting, along with some other similar attachments (~다고).
So it depends on context, but basically "what did you say" or "what is it called"? You don't have to be angry^^
2015년 11월 9일
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뭐라고? is used when you are kind of angry at what the speaker said.
It's "what did you say???"