Wayne Company purchased equipment on January $1$ at a list price of $$125,000,$ with credit terms $\frac{2}{10},\frac{n}{30}.$ Payment was made within the discount period. The company paid $$6,250$ sales tax on the equipment and paid installation charges of $$2,200.$ Prior to installation, they paid $$5,000$ to pour a concrete slab on which to place the equipment. What is the total cost of the new equipment?

$$138,450$

$$131,250$

$$135,950$

$$126,250$