Chang Corp. has $$375,000$ of assets, and it uses only common equity capital $($zero debt$).$ Its sales for the last year were $$695,000,$ 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.

$8\mathrm{.}01\%$

$6\mathrm{.}07\%$

$8\mathrm{.}09\%$

$6\mathrm{.}56\%$

$6\mathrm{.}39\%$