Peel and core the apples and cut into small pieces. Melt the butter along with the sugar in a frying pan and add the apples. Allow them to cook over a medium heat, stirring occasionally, for 12 minutes.
Meanwhile, remove any skin there may be from around the black pudding and break up the pudding with a fork. Cook in another frying pan for about 3-4 minutes, until warmed through. Share the cooked apples between six individual ramekins and layer the black pudding on top.
Cook the king scallops in hot olive oil for 1½-2 minutes on each side, then place on top of the black pudding. Serve immediately.