Some relation/ships are based on care and responsibility, others are not but are based on benefits and interest. What this second kind is called.
It does not need to be an interpersonal relation; for example, it can be relation an organization has with a person.
It also does not need to be a mutual interest relationship. So A might start a relationship with a particular group because she see a benefit in such a relationship.
I prefer single words and I am already aware of such words as benefit-based or interest-based, I want other words with the same meaning.