Hi i am not very good with math and i struggle to wrap my head around the formula needed to solve my problem. This is what i am trying to accomplish:
I see an item at a store for \$50 and there is a .5% buy fee. I buy the item and pay $50.25 total. I then decide i would rather have my money back and must resell the item. I now need to choose a resale price that will get me my \$50.25 plus cover the additional .5% sales fee. I will need to leave with my exact starting money. A \$0 profit or loss.
The problem is that every time i try to calculate the new resale price the sales fee goes up and now i must increase my sales price to compensate. I believe this is called a circular reference and can be avoided solving the problem algebraically.
Edit: fixed wording
The way you describe the problem, both the seller and the buyer pay 5% of the advertised fee. So when you sell you get back only 95% of the advertised price. That means that you want to advertise at a price $P$, such that $$\frac{95}{100}P=50.25$$ or $$P=\frac{5025}{95}$$