Let the fraction is $p/q$ and it’s reciprocal is $q/p$. now according to the question:
$\implies\frac{\frac{p}{q}\times\frac{p}{q}}{\frac{q}{p}}=\frac{125}{8}$
$\implies \left ( \frac{p}{q} \right )^3=\frac{125}{8}$
$\implies \left ( \frac{p}{q} \right )=\frac{5}{2}=2 \frac{1}{2}$
Option (A) is correct.