Two Carnot heat engines are operating in series such that the heat sink of the first engine serves as the heat source of the second one. If the source temperature of the first engine is $$1327^\circ C$$, the sink temperature of the second engine is $$127^\circ C$$, and the thermal efficiency of both the engines are the same, the temperature of the intermediate reservoir is:

A

$$627^\circ C$$

B

$$410^\circ C$$

C

$$577^\circ C$$

D

$$527^\circ C$$