In a probability$-$proportional$-$to$-$size sample with a sampling interval of $$5,000,$ an auditor discovered that a selected account receivable with a recorded amount of $$10,000$ had an audit amount of $$8,000.$ If this were the only error discovered by the auditor, the projected error of this sample would be:

A$.$

$$1,000$

B$.$

$$2,000$

C$.$

$$4,000$

D$.$

$$5,000$