Jim has an HO$-3$ policy with a $$100,000$ limit$.$ A fire burns down his detached garage. Damage to the garage is $$25,000$ RC $($$$15,000$ ACV$),$ and damage to the property that was in the garage is $$5,000$ RC $($$$2,500$ ACV$).$ How much will his HO$-3$ policy pay for this loss?

Group of answer choices

$$0$

$$100,000$

$$12,500$

$$30,000$

$$27,500$