Liverpool add to Chelsea troubles
Philippe Coutinho scored twice as Liverpool's first Premier League win under Jurgen Klopp piled further pressure on Chelsea boss Jose Mourinho.
Chelsea went ahead through a diving header from Ramires after four minutes.
But Coutinho equalised with a curling shot in first-half stoppage time.
The Brazilian then scored with a shot which deflected off John Terry before substitute Christian Benteke slotted home to make it 3-1 and leave Chelsea 15th after a sixth league loss.