Alternative Motive. An alternative or extrinsic reason for doing something, especially when concealed or when differing from the stated or apparent reason. An ulterior motive is what you want.

It’s because people mix up “alterior” with “alternative” and “ulterior”. An alternative or extrinsic reason for doing something, especially when concealed or when differing from the stated or apparent reason. There lurks no bribe in the smell and beauty of the flower.