In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2 %, 3 % and 4 % respectively. Then the maximum percentage of error in the measurement of X, where X = $\frac{A^2B^\frac{1}{2}}{C^\frac{1}{3}D^3}$ , will be

16%

X = $\frac{A^2B^\frac{1}{2}}{C^\frac{1}{3}D^3}$

$\frac{\Delta X}{X}$ = $\frac{2\Delta A}{A}$ + $\frac{\Delta B}{2B}$ + $\frac{\Delta C}{3C}$+$\frac{3\Delta D}{D}$

$\frac{\Delta X}{X}\times100=2\times1$%+$\frac{1}{2}\times2$%+$\frac{1}{3}\times3$% +3$\times4$%= 16%