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Would the professors of Hogwarts be paid a salary for their teaching?
There's obviously Gringot's where the wizarding world (at least in the UK) would store their riches. I seem to recall there being mention of folks at the Ministry of Magic being paid (I think Ron's dad mentions something about his salary at one point in the movies).
But there's no real mention, as far as I know, of Hogwart's professors being paid, I would assume they'd just live at the school and have their needs met through the 'government'.
It also begs the question of would they be paid in the currency of the local 'muggle world'? Harry visits his parent's vault shortly before heading to Hogwarts and takes out a bunch of galleons to pay his tuition. In the muggle world, this seems like it would be a strange interaction when buying something, ex. paying for groceries using some galleons.