Dirt B Gone charges $$45\mathrm{.}75$ per room cleaned plus a $$195$ fee every time they come out to clean. Partners in Grime charges $$72\mathrm{.}45$ per room but does not charge any other fees. If you have $9$ rooms that need to be cleaned, $($i$)$ which company has the best price and $($ii$)$ by how much?