In reply to Hillseeker:
Google 'air plunger' - gun shaped plunger that you pressurise with a pump and then stick the plunging cup over or down the offending drain. It fires a shot of compressed air down the drain. Various types available on amazon for about 10-20 quid, honestly the best thing I've ever used to unblock sinks/toilets.
When we moved into house had a particularly stubborn blockage (due to previous owners terrible plumbing). Tried a snake, various chemicals, normal plungers, etc. Was about to rip the pipes out and start again when I got hold of one of these. Sorted it in about a minute.
I guess there is a possible risk it could push apart 'push fit' waste pipes, but doesnt appear to have happened when I've used it.