This is what I'd like to see on a profile page - beneath the big reputation figure, I'd like to see two smaller numbers. The first would be the reputation the user has gained from answering questions, and the second the reputation gained from merely asking them. Personally I feel a bit cheated when I see someone with thousands of rep and discover it's almost entirely from asking questions - I'd like some quick way of seeing the split.
Then, possibly, on a question page, you could display the relevant figure next to their overall reputation depending on whether their post was an answer or a question. If I see someone who mostly just answers other people's questions, I find myself more curious about the questions they themselves ask. If I see someone answering a question who mostly just asks them, I take their answer with an extra pinch of salt.