Gadgets Inc., received an invoice from a supplier for raw materials that had a list price of $$12,600\mathrm{.}00.$ The supplier offered a series discount of $30/20/10$ and terms of $2/10,$ n$/30$ ROG and F$.$O$.$B$.$ destination. The supplier pre$-$paid the freight of $$350\mathrm{.}00.$ The invoice was dated June $10$ and the goods were received on June $30.$ If Gadgets remitted full payment on July $10,$ what was the amount they paid? Answer is: $$6,573\mathrm{.}39$