Chang Corp. has $$375,000$ of assets, and it uses only common equity capital $($zero debt$).$ Its sales for the last year were $$645,000,$ 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.

$10\mathrm{.}03\%$

$7\mathrm{.}41\%$

$8\mathrm{.}72\%$

$6\mathrm{.}63\%$

$8\mathrm{.}98\%$