Ok, so the best thing to do is use a site like this http://funadvice.com/r/3kc4vnlaek cheapflights.co.uk, you can put in specifuc details, and it will list prices and deals for you with several airlines.
Well if you were flying to Alaska it would probably cost more than if you were flying to Turkey. So we really do need a destination
Where do you want to fly from, and to what part of Cyprus?
The UK to Paphos Airport