I paid $60 for my deer. The place I go to charge $60 (skinning included) no matter what the weight of the deer is. This is basic cuts - steaks, chops and burger. I got 43 lbs. of meat including 8 large packages of steaks. Now, if you want sausage, bologna, 'beef' sticks or jerky then the price goes up. I'm not sure what they charge for that but I do know that they require X amount of meat to make the jerky - a minimum per se.
For a small deer their price is a little high, so then you gotta make sure you shoot a bigger deer

For a large deer it is a bargain. I've been very happy with the processing - the meat is terrific, not gamey at all.
I would like to process my own but I will definitely have to see it done by someone else first. Plus, I have to gather the equipment...
I can't tell you if you got cheated or not, but to me it seems a bit high....