You get the money for winning games , so we got money for beating Mansfield , not for playing Man City (we will get £90k prize money if we beat them).
The average ticket price you quote is the adult one. It will be lowered by the fact that the club doesn`t benefit from the v.a.t in the price (on a £25 ticket the club will have to hand over £4 in v.a.t to HMRC). Also concession prices for youngsters and old farts (like me) are considerably less.