One example of a Cash Discounts is to receive a $2\%$ discount off of the net price of merchandise if one pays within $10$ days $(2/10,$ n$30).$ Based on this scenario, a merchant offers you $2/10,$ n$30$ on a $$30,000$ purchase made on $9/1.$

If you pay your bill on $9/7,$ how much will you owe?

If you pay your bill on $9/27,$ how much will you owe?

Give a brief explanation in the savings and how this is a good opportunity for both the buyer and the seller?