Water replenishing device for a flush rim of a toilet and toilet including the same

A toilet is provided with a water replenishing device for a flush rim with a silencing function. The water replenishing device has independent drainage from the drainage of the cistern. The water replenishing device includes a water storage box with a water inlet on a top side and a drainage outlet on a bottom side. The drainage outlet is connected to the waterway for the flush rim. A lid is installed in the water storage box to open or close the drainage outlet. The water storage box is provided with a water storage area. A backflow channel has one end connected to the water inlet and the other end extending into the water storage area below or equal to the highest level of the water storage area. Such toilets make less noise by eliminating water inlet noise.