Bought a used car through Facebook market and we made a mistake.
On inspection we figured out there was something wrong with one part of car but we were not sure. We offered X amount but seller offered X + £500 with 6 month's warranty on if something major fault comes up in car. We accepted it.
On sale invoice which is on letter head of seller's company which deals with something other then cars, they wrote that car is sold for this amount and included 6 months warranty T&C. In invoice they didn't provided any T&Cs.
After 2 weeks this part started showing signs of a serious problem. On inspection from 3 garages, they all suggest it needs replacement as soon as possible.
Now spoken to seller they say warranty was only for car's tyres which obliviously not true as invoice is for car not tyres.
In advert they said car is in perfect condition and full service history, both statements were incorrect.
I read on internet private car sales, buyer don't have many rights, however I am unable to find relevant cases where seller provided written signed agreement with 6 months warranty. Is there a case for me ?