Two different companies, Vogel Corporation and Hatcher Corporation, entered into the following inventory transactions during December. Both companies use a perpetual inventory system using the gross method of recording sales discounts.

December $3-$ Vogel Corporation sold inventory on account to Hatcher Corporation for $$489,000,$ terms $\frac{3}{10},\frac{n}{30}.$ This inventory originally cost Vogel $$303,000.$

December $8-$ Hatcher Corporation returned inventory to Vogel Corporation for a credit of $$4,900.$ Vogel returned this inventory to inventory at its original cost of $$3,036.$

December $12-$ Hatcher Corporation paid Vogel Corporation for the amount owed.

Required:

a$.$ Prepare the journal entries to record these transactions on the books of Vogel Corporation.

b$.$ What is the amount of net sales to be reported on Vogel Corporation's income statement?

c$.$ What is the Vogel Corporation's gross profit percentage?