Is business a social science?

No, business is not a social science. However, businesses often use different social sciences to be successful, and having a background in social sciences can be extremely beneficial for someone looking to go into the business world. There are degrees in business that are also BAs, which do include aspects of social science.

Some people also consider parts of business as social sciences. For example, some people and institutions argue that finance deals with the relationships between societies and peoples, so it is a social science. This is generally recognized by a bachelor's degree where you can either a BA or BS in finance.