Simplify : $${\text{10}}\frac{1}{8}{\text{ of }}\frac{{12}}{{15}} \div \frac{{35}}{{36}}{\text{ of }}\frac{{20}}{{49}}$$

A. $$17\frac{5}{{12}}$$

B. $$17\frac{8}{{17}}$$

C. $$20\frac{3}{{25}}$$

D. $$20\frac{{103}}{{250}}$$

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \frac{{81}}{8}\,of\,\frac{{12}}{{15}} \div \frac{{35}}{{36}}\,of\,\frac{{20}}{{49}} \cr & = \frac{{81}}{{10}} \div \frac{{25}}{{63}} \cr & = \frac{{81}}{{10}} \times \frac{{63}}{{25}} \cr & = \frac{{5103}}{{250}} \cr & = 20\frac{{103}}{{250}}\, \cr} $$