Cullumber Company uses the perpetual inventory system and began business on August $1.$ During the month Cullumber made inventory purchases of $$9300,$ terms of $\frac{3}{15},\frac{n}{45}.$ Cullumber returned $$300$ worth of goods during the month, paid all suppliers in time to take advantage of all offered cash discounts during the month and sold inventory with a value of $$6200.$ These were the only inventory transactions during the month. What is the balance in the inventory account at the end of August?