A manufacturer of athletic footwear has determined its total costs are $$25$ per pair of shoes. The company sells the footwear through wholesalers who in turn sell to retailers. The required wholesaler markup is $20\%$ on cost while the required retailer markup is $50\%$ on cost$.$ The footwear manufacturer needs a markup of $25\%$ on cost$.$ What is the retail selling price?

Question $13$ options:

$$48\mathrm{.}75$

$$60\mathrm{.}00$

$$65\mathrm{.}00$

$$55\mathrm{.}25$

$$56\mathrm{.}25$