That said, fairness in business has nothing to do with your or your co-founder's personal financial situation, other than the constraints of reality (i.e., you simply can't work without a minimum amount of salary.) Frankly your co-founder should be paid in something (equity) if they are not drawing a salary. Theoretically, ownership and compensation should reflect what each of you are bringing to the company. In fact, your co-founder is actually getting compensated less than you while investing their own money - that means you are already better compensated than them. Is that "fair"? Maybe, maybe not, you guys have to agree.
But get a written agreement - if this already exists than just stand by it.