A $1-$MVA, $22/0\mathrm{.}433-$kV transformer is overloaded to $1\mathrm{.}125$ MVA at a power factor of $0\mathrm{.}8$ lag. This overloading can be eliminated by adding a capacitor at the LV terminal of the transformer. The minimum capacity of the capacitor should be:

$($a$)300$ kVAr

$($b$)200$ kVAr

$($c$)150$ kVAr

$($d$)100$ kVAr