Crane Company uses the perpetual inventory system and began business on August $1.$ During the month Crane made inventory purchases of $$8100,$ terms of $\frac{3}{15},\frac{n}{45}.$ Crane returned $$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 $$5700.$ These were the only inventory transactions during the month. What is the balance in the inventory account at the end of August?

$$1866$

$$8100$

$$1875$

$$2100$