A company that purchases inventory costing \(\$ 10,000\) on terms \(2 / 10, n / 30\), but first returns one-half of those goods, will receive a discount of what amount if it pays on the last day of the discount period?

a. \(\$ 0\)

b. \(\$ 100\)

c. \(\$ 200\)

d. \(\$ 5,000\)