A series type ohmmeter has a moving system with $60$ internal resistance $($RmR$\_$mRm$).$ If the full$-$scale deflection current is $1\mathrm{.}2$ mA$,$ internal supply battery voltage is $3$ V and the desired scale marking for half$-$scale deflection is $1500,$ determine $($i$)$ Series resistance $($RsR$\_$sRs$)$ and shunt resistance $($RshR$\_\{$sh$\}$Rsh$)($ii$)$ maximum value of RshR$\_\{$sh$\}$Rsh$$ to compensate for $10\%$ drop in battery voltage $($iii$)$ error at the half$-$scale mark when RshR$\_\{$sh$\}$Rsh$$ is set at a value obtained in $($ii$).$

$4$o