The fact that the other charger works on both carts is good news.
I am not near my chargers or my manuals and I am no expert who remembers stuff off the top of my head, but I think there is a fuse on the front of the charger. I would check that, but I suspect it is the relay in the charger.
If you up for it is to take the relay out of the good charger and put it in bad charger. If charger comes on you just need a relay which can be picked up for $15 - $25 depending on where you get it.
Man I miss driving my carts