Q$\mathrm{.}19$ Calculate the super$-$elevation to be provided to get same maximum permissible speed by sucerelevation and transition curve formula with cart deficiency of $75mm.($Take radius of curve as $500m$ and length of transition curve to be $50m)$

$($a$)89mm$

$($b$)165mm$

$($c$)118mm$

$($d$)75mm$