A physical quantity $y$ is represented by the formula $y=m^2{r}^{-4}{\mathit{ }\mathit{g}}^{\mathit{x}}{l}^{-\frac{3}{2}}$ If the percentage errors found in $y\mathit{,}\mathit{ }m\mathit{,}\mathit{ }r\mathit{,}\mathit{ }l$ and $g$ are $18, 1, 0.5, 4$ and $p$ respectively, then find the value of $x$ and $p$.

• A

  $5$ and $\pm 2$
• B

  $4$ and $\pm 3$
• Correct answer
  C

  $\frac{16}{3}$ and $\pm \frac{3}{2}$
• D

  $8$ and $\pm 2$

Hence, the correct answer is option: 'C'.