¿Cuál es la diferencia entre non of your business y non of your concern ?Puedes dar oraciones como ejemplo.

Generally None of your business is rude and none of your concern is more polite/formal, but then again the situation and tone is important. Both mean something is private information and should not be asked about.

None of your business:
E.g. Person A and B are gossiping and person C joins the conversation adding their opinion, person A replies "this is none of your business".

You feel the other persons annoyance that you even talked about the issues.

None of your concern E.g. There is a problem at work and you asks about it, the person replies this is none of your concern/this doesn't concern you.

It's just better too hear.

But it's really depends on context and tone because they are both interchangeable.