A physical quantity $Q$ is found to depend on quantities $a, b, c$ by the relation $Q=\frac{a^4 b^3}{c^2}$. The percentage error in $a$, $b$ and $c$ are $3 \%, 4 \%$ and $5 \%$ respectively. Then, the percentage error in $\mathrm{Q}$ is :

  • [JEE MAIN 2024]
  • A

     $66 \%$

  • B

     $43 \%$

  • C

     $34 \%$

  • D

     $14 \%$

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  • [AIIMS 2013]