Percentage Increase and Decrease

Question

I am having a kind of a chicken-egg problem.

For example, I am wholesale merchant and I want to sell an orange for \$100 to the end user. I know that the retail merchant adds 12% on top of my price, but the retail merchant should sell it for 100 dollars.

For how much do I need to sell the orange to the retail merchant, so that the end user can buy it for \$100 from retail merchant?

Thanks in advance.

Answer 1

So if 100USD is price+12% then $(1.12)price=100$ and so $price=89.29$ (to 2 d.p.).