This would probably depend upon the specific fault and the quality of the item.
Example, a high end Miele washing machine might well set you bakc over £1000, and thatsaround three times what you’d expect to pay for , say, a Whirlpool.
If the fault that appeared was construction related, like a casting broke apart due to faulty manufacture, then you would possible have a case, if it was component related, such as a motor burning out, well such parts are considered to be wear and tear, and that lifespan of them can only be guessed at in ‘expected time between failure’ which is simply a statistical device, and means that a particualr item might be expected to last perhaps ten years, but a few will only last one year.
On such a fault you would probably end up with a service exchange replacement.
On the other hand, the Whirlpool machine may give up the ghost one day after the warranty, and you might not get any repair out of the manufacturer, simply because it has a lower expected quality.
I think you would be at the mercy of a tribunal in a small claims court, however, if repairs are very expensive, just issuing the notice of the hearing might well get you a repair or replacement, and quite often traders neglect to turn up for small claims hearing, even if they would have won - because maybe they don’t take it seriously enough - and the consumer/plaintiff wins by default.