convience outlet by spa
I am installing a hot tub and need to add a 120V outlet. There will be a 50 amp breaker in the main panel, supplying a 50 amp gfci panel near the tub. 4 #6 conductors thru a 1" conduit. I am wondering if I can run a single #12 conductor, protected by a 15 or 20 amp breaker in the main panel, thru the same conduit, passing thru the spa box, to a gfci outlet in a box next to the spa box. Then use short lengths of #12 back to the neutral and ground bars in the spa box? Thus using the #6 neutral and ground to complete the 120V circuit.
I know it will "work", but is there some reason it should not be done in this manner?
Thanks for your time