A firm buys on terms of $\frac{2}{10},$ net $20.$ It does not take the discount, and it generally pays after $100$ days. What is the nominal annual percentage cost of its non$-$free trade credit, based on a $365-$day year?

$$ a$.4\mathrm{.}06\%$

b$.7\mathrm{.}45\%$

c$.9\mathrm{.}01\%$

d$.2\mathrm{.}04\%$

e$.8\mathrm{.}28\%$