Card first:

Enchantment- [still no subtype]
Whenever a permanent is put into your graveyard from play, target player sacrifices a permanent.
Whenever damage is dealt to you, Rakdos Guildhall deals that much damage to the source's controller.
I don't know whether this is actually black or red, as it feels much more white than anything. Can a black-red card be "white" when flavor justifies it? I'd say no, but then again, it might be black-reddish enough to stay unchanged.
Rakdos' Perversion

Enchantment- [subtype]
Whenever damage is dealt to you, you may pay that much life. If you do, Rakdos Guildhall deals that much damage to target creature or player.or
Rakdos' Perversion

Enchantment
Whenever a non-land source you control causes you to lose life, Rakdos' Perversion deals an equal amount of damage to target creature or player.