Given,

$\begin{array}{l}{\left(\frac{24}{9}\right)}^2\times \frac{399}{39}÷\frac{41}{899}=?\end{array}$

It can be approximated as

$$\begin{gathered} \begin{array}{l}{\left(\frac{24}{8}\right)}^2\times \frac{400}{40}÷\frac{41}{899}=?\end{array} \\ \begin{array}{l}{\text{ ? = (3)}}^{\text{2}}\times \frac{400}{40}\times \frac{900}{40}\end{array} \end{gathered}$$

= 9×10×22.5

= 9×225

= 2025 ≈1750

Hence, Option E is correct.