Question $18(4$ points$)$

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Last year YYY Company had a $9\mathrm{.}00\%$ net profit margin based on $$31,000,000$ in sales and $$10,000,000$ of total assets. During the coming year, the president has set a goal of attaining a $30\%$ return on total assets. If YYY finances $70\%$ of its assets by borrowing, what will its return on common equity be next year if the return on assets goal is achieved? $($State your answer in percent with two decimal places.$)$

$68\mathrm{.}23\%$

$42\mathrm{.}86\%$

$100\mathrm{.}00\%$

$109\mathrm{.}73\%$

$38\mathrm{.}46\%$