Fair profit split with only 1 partner on loan

Hello everyone! 

I am trying to come up with the best way to split profits for a 3 person partnership.

We are looking to purchase a property for short term rentals. We are all planning to split the down payment evenly between the 3 of us, but only 1 person is qualified and will be on the actual loan.

If we are all on the loan and taking on the same amount of liability, than a 33/33/33 split sounds fair. 

But if only 1 person is on the loan, what would be a fair profit split (with all other factors being equal)?

Thank you in advance for your input!