The value of [ 4/7 of 24/5 × 12/3 - ( 31/2 - 21/6 ) ] ÷ ( 31/5 ÷ 41/2 of 51/3 ) is:

Answer: Option C

$$\begin{array}{rl}& \left[\frac{4}{7}\text{ of }2\frac{4}{5}\times 1\frac{2}{3}-\left(3\frac{1}{2}-2\frac{1}{6}\right)\right]÷\left[\left(3\frac{1}{5}÷4\frac{1}{2}\text{ of }5\frac{1}{3}\right)\right]\\ & =\left[\frac{4}{7}\text{ of }\frac{14}{5}\times \frac{5}{3}-\left(\frac{7}{2}-\frac{13}{6}\right)\right]÷\left[\left(\frac{16}{5}÷\frac{9}{2}\text{ of }\frac{16}{3}\right)\right]\\ & =\left[\frac{8}{3}-\left(\frac{21-13}{6}\right)\right]÷\left[\left(\frac{16}{5}÷24\right)\right]\\ & =\left[\frac{8}{3}-\frac{8}{6}\right]÷\left[\frac{16}{5}\times \frac{1}{24}\right]\\ & =\frac{4}{3}÷\frac{2}{15}\\ & =\frac{4}{3}\times \frac{15}{2}\\ & =10\end{array}$$