A $500-$kVA single$-$phase transformer is rated $6\mathrm{.}8kV\frac{?}{?}115kV.$ A short circuit test on the high$-$voltage side at rated current indicates $P_{in}=435W$ and $V_{in}=2\mathrm{.}5kV.$ Determine the winding resistance $(R_s)$ and leakage reactance $(x_s)$ on the high$-$voltage side.

$($a$)R_s=14\mathrm{.}25,x_s=574\mathrm{.}5$

$($b$)Rs=13\mathrm{.}05,xs=312\mathrm{.}5$

$($c$)Rs=23\mathrm{.}01,xs=312\mathrm{.}5$

$($d$)Rs=23\mathrm{.}01,xs=574\mathrm{.}5$