A surgeon charges $$2,400$ for hernia surgery. He contracts with an insurer that allows a fee of $$800.$ Patients pay $20$ percent of the allowed fee. How much does the insurer pay? How much does the patient pay?

The insurer pays $80\%$ of $$2,400,$ or $$1,920.$ The beneficiary pays $$480.$

The insurer pays $80\%$ of $$800,$ or $$640.$ The beneficiary pays $$160.$

The insurer pays $$1600$; the beneficiary pays $$800.$

None of the above