Brian invested $100$ shares of a Japanese corporation at the price of $2,050$ JPY $($Japanese Yen$)$ per share when the exchange rate was US $$1\mathrm{.}00=138$ JPY$.$ After six months, he sold all of the shares at the price of $2,250$ JPY per share, when the exchange rate was US $$1\mathrm{.}00=148$ JPY$.$ No dividends were paid during the time she owned the shares of stock. What is his rate of return in US$ on this investment over this time period?

Group of answer choices

$9\mathrm{.}76\%$

$2\mathrm{.}34\%$

$4\mathrm{.}62\%$

$7\mathrm{.}25\%$