On June $25,$ Ryan's Gaming Supplies received a $$20,000,4-$month, $6\%$ note from a customer that will mature on October $25.$ The note was left at Park National Bank for collection. The bank collects the maturity value from the customer on October $27$ and charges a collection fee of $1\%$ of the amount collected. How much will be debited to Cash when Ryan records the collection of the note?

a$.$ $$20,200$

b$.$ $$20,000$

c$.$ $$20,400$

d$.$ $$20,196$