The scenario is broad in its macro term, to make it easier, let’s say you have a business partner who is of different religion e.g. Hindu or Christian. You also know that your business partner does business using income source that is not accepted in Islam, e.g.: taking interests on loan. However, if you don't do business with him, things will get complicated for your corporation. Also, in a huge economy, when there are so many corporation who rely heavily on interest income, how to deal with that, financially.
Through all Hadiths and Ayas, Muslims have no problem doing business with non Muslims. But in case of partnership, many scholars said it is not a proper work, because the non Muslims do not pay attention to Halal and Haram.
- The reference for this is a Hadith from Muhammad (pbuh) shows it is not a good work but did not forbid it:
Ahkam Al-Zemmeh(احکام الذمه), Vol.1, page 183
- And other reference is a Hadith from Amir Al mo'menin which is located in:
Wasail Al-shia, Vol.13, Chap.2