All perfect praise be to Allaah, The Lord of the worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His slave and messenger.
According to the opinion of the majority of scholars, there is no zakat for the partner whose share does not reach the Nisaab whether by itself or after being added to his other wealth, money or trading goods, as they are all considered forms of wealth on which zakat is paid. Mixed ownership of wealth does not affect the obligation of zakat, except in the case of livestock.
Allaah Knows best.