A physical quantity $X$ is related to four measurable quantities $a$, $b$, $c$ and $d$ as given, $X = a^2b^3c^{5/2} \,d^{-2}$. The percentage error in the measurement of $a$, $b$, $c$ and d are $1\%$, $2\%$, $2\%$ and $4\%$ respectively. What is the percentage error in quantity $X$ ?