$\begin{array}{l}\text{Here, }\\ \text{we can express the given statement as follows}\\ \Rightarrow 24\%\text{\hspace{0.17em}of}\frac{4}{9}{\text{\hspace{0.17em}of\hspace{0.17em}5\hspace{0.17em}of\hspace{0.17em}(27)}}^{\text{2}}\\ \\ =\frac{24}{100}\times \frac{4}{9}\times 5\times 729[\because {27}^2=729]\\ \\ =\frac{24}{100}\times \frac{4}{9}\times 5\times 729\\ \\ =\frac{24\times 4\times 5\times 81}{100}=\frac{24\times 81}{5}\\ \\ =81\times 4.8=388.8\end{array}$

Hence, option A is correct.