Money is one of the important concepts, This section talks about money from the perspective of microeconomics.when people exchange goods and services without using money, this is called barter. "I'll cook dinner if you'll do the dishes" is an example of barter. Imagine an economy in wich i can sell services as a consultant to banks, but what i want is to buy a new suit. the clothing store that sell suits does not have any use for my services as a banking consultant. i sell consulting services for money, and i buy a suit using money. money serves as a medium of exchange. the bank does not sell suits. how can barter work?
The barter system is used if both of them want the goods that both have as you are demonstrating, and in your case indeed the barter system does not exist because in your case the banking cannot provide a suit or whatever you want but this is why a currency is created.