Chang Corp. has $$375,000$ of assets, and it uses only common equity capital $($zero debt$).$ Its sales for the last year were $$550,000,$ and its net income was $$25,000.$ Stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to $15\%.$ What profit margin would the firm need to achieve the $15\%$ ROE, holding everything else constant? Do not round your intermediate calculations.

a$.13\mathrm{.}64\%$

b$.6\mathrm{.}67\%$

c$.22\mathrm{.}00\%$

d$.10\mathrm{.}23\%$

e$.4\mathrm{.}55\%$