In an experiment, the percentage of error occurred in the...

Given: Percentage error in $A$, $B$, $C$ and $D$ is $1$, $2$, $3$ and $4$, respectively.

The maximum percentage error in $X$ is given by,

$\dfrac{∆ X}{X} \times 100 = 2\left(\dfrac{∆ A}{A} \times 100\right) + \dfrac{1}{2}\left(\dfrac{∆ B}{B} \times 100\right) + \dfrac{1}{3}\left(\dfrac{∆ C}{C} \times 100\right) + 3\left(\dfrac{∆ D}{D} \times 100\right)$

$\dfrac{∆ X}{X} \times 100 = 2 \times 1 + \dfrac{1}{2} \times 2 + \dfrac{1}{3} \times 3 + 3 \times 4$

$\dfrac{∆ X}{X} \times 100 = 16$. will be the maximum percentage error in $X$.