I am assuming a .22 rim fire?
When you start getting into the magnification range you are talking about things start to get pricey real quick. They are not exactly clear at close ranges that you would be shooting and would actually be a hinderance at rimfire ranges.
They aren't exactly a longe range round so any of the "normal" powered scopes should serve you very well. You are only looking at shooting to about 50 yards or so. You should also get a scope specifically made for a rimfire rifle. The paralax will be set to 50 yards for a clear and crisp sight picture up close.
Simmons makes the 22 mag line of scopes whick should work nicely for you. They are available in 4X and 3-9X. They should come in well under $200.00
SIMMONS
Bushnell also offers a line of scopes made for the rimfire shooter. They are also available in 4X and 3-9X. Again they should come in well under $200.00
BUSHNELL
Either of these two lines of scopes should get you everything you need for a recreational rimfire shooter. They are both water proof, fog proof, and the lenses are multi coated.