Alpha Division$$s data are as follows:

Average operating asset base

$$500,000$

Operating income

$$60,000$

Cost of capital

$14\%$

Target return on investment $($ROI$)$

$16\%$

Margin

$21\%$

If the asset base is decreased by $$120,000,$ with no other changes, what will Alpha Division's return on investment be$?($Note: Round the answer to two decimal places.$)$

Group of answer choices

$15\mathrm{.}79\%$

$10\mathrm{.}50\%$

$18\mathrm{.}50\%$

$12\mathrm{.}55\%$