An experiment measures quantities $x, y, z$ and then $t$ is calculated from the data as $t=\frac{x y^{2}}{z^{3}}$. If percentage errors in $x , y$ and $z$ are respectively $1 \%, 3 \%, 2 \%$, then percentage error in $t$ is :
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An experiment measures quantities $x, y, z$ and then $t$ is calculated from the data as $t=\frac{x y^{2}}{z^{3}}$. If percentage errors in $x , y$ and $z$ are respectively $1 \%, 3 \%, 2 \%$, then percentage error in $t$ is :

(1) $10 \%$

(2) $4 \%$

(3) $7 \%$

(4) $13 \%$

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The percentage error in t will be 13%. So, The correct option of this question is (4).

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