He 'profited by' his experience/mistake. [=he learned something useful from his experience/mistake]
The book can be read with 'profit' by anyone who wants to understand how the system works.
We sold the house 'at a profit'. [=we made a profit when we sold our house]
(..) Are you talking about, like, frequent flyer miles? -You really want to know? -I'm dying to know. I don't spend a nickel if I can help it unless it somehow profits my mileage account. So, what are you saving up for, Hawaii, South of France? It's not like that. The miles are the goal. That's it? (..)2009 Up in the Air