A company$$s trial balance shows a difference between the debit and credit columns. Upon investigation, it is found that a purchase of inventory worth $$5,000$ was recorded in the Purchases Account but was mistakenly credited to the Cash Account instead of debiting it$.$ What will be the correct adjusting entry?

Question $4$ options:

Debit Purchases $$5,000,$ Credit Cash $$5,000$

Debit Cash $$5,000,$ Credit Purchases $$5,000$

Debit Purchases $$10,000,$ Credit Cash $$10,000$

Debit Cash $$10,000,$ Credit Purchases $$10,000$