As mentioned already, the price will just be included in a different way, possibly by a small price increase on goods. This then affects anyone paying by cash and cheque as well.
On BBC news this morning, one commentator said that it the business gets hit whichever way you pay, but it may actually be cheaper to only accept cards than the extra cost of banking cash. She mentioned a few businesses in London already only accepting card payments and no cash to save on the extra hassle.