Fresh water gold fish types?

I got two fish today and the lady called them imported goldfish but i wanted to know if they had real names. one is white and looks like a koi fish because it has a red spot on its face. the other is all orange except it has black edges on all its fins. they both have a large tail. the white one has a tail that is an upside down v shape and the orange one has four sections to its tail (looks like a butterfly). they both have long pectorals if that helps and also both look pregnant cause of their big bellies, Just wanted to know if anyone knew what kind they were?