Selling Used Clothing. A consignment shop accepts an item of clothing that no longer fits $($or one you have grown tired of$)$ and sells it for you. The shop then charges you an agreed on percent of the selling price as their profit. Suppose the owner of a designer wool coat would like to make $$210$ on its sale at a consignment shop. If there is a $12\frac{1}{2}\%$ consignment charge, for what price must the coat be sold?