Jemma has a traditional health insurance plan with a $$1000$ deductible and $\frac{80}{20}$ coinsurance and a $$2000$ out$-$of$-$pocket maximum. If Jemma had medical bills of $$9,875,$ how much would she end up having to pay?

$$2,375$

$$2,000$

$$2,775$

$$3,000$