A men's clothing store marks up suits by $75\%$ of cost$.$ This provides an operating profit of $15\%$ of the selling price. If a suit's cost to the store is $$132$ :

a$.$ Determine its selling price. $($Round your answer to $2$ decimal places.$)$

Selling price $ $$

b$.$ Determine the rate of markup on selling price. $($Round your answer to $1$ decimal place.$)$

Markup on selling price $\%$

c$.$ Determine the operating profit. $($Round your answer to $2$ decimal places.$)$

Operating profit $