A physical quantity $P$ is described by the relation $P = a ^ { \frac { 1 } { 2 } } b ^ { 2 } c ^ { 3 } d ^ { - 4 }$. If the relative errors in the measurement of $a , b , c$ and $d$ respectively, are $2 \% , 1 \% , 3 \%$ and $5 \%$. Then the relative error in $P$ will be:\\
(1) $12 \%$\\
(2) $8 \%$\\
(3) $25 \%$\\
(4) $32 \%$