The value of $$\frac{13}{2}\left[15\div\frac{3}{5}of\frac{1}{2}+76+1\frac{1}{2}\times4\frac{1}{2}\div3\frac{1}{4}\right]$$

Given,

$$\frac{13}{2}\left[15\div\frac{3}{5}of\frac{1}{2}+76+1\frac{1}{2}\times4\frac{1}{2}\div3\frac{1}{4}\right]$$

Lets solve this with the rule of BODMAS

= $$\frac{13}{2}\left[15\div\frac{3}{10}\ +\ 76+1\frac{1}{2}\times4\frac{1}{2}\div3\frac{1}{4}\right]$$

= $$\frac{13}{2}\left(50\ +\ 76+\frac{3}{2}\times\frac{9}{2}\div\frac{13}{4}\right)$$

= $$\frac{13}{2}\left(50\ +\ 76+\frac{27}{13}\right)$$

= $$\frac{13}{2}\left(\frac{1665}{13}\right)$$

= $$\frac{1665}{2}=\ 832.5$$

Hence, Option A is correct.