The value of $$\left( {99\frac{{95}}{{99}}} \right) \times 99$$    is :

A. 9798

B. 9997

C. 9898

D. 9896

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \Rightarrow \left( {99\frac{{95}}{{99}}} \right) \times 99 \cr & = \left( {99 + \frac{{95}}{{99}}} \right) \times 99 \cr & = \left\{ {\left( {100 - 1} \right) + \frac{{95}}{{99}}} \right\} \times 99 \cr & = 9900 - 99 + 95 \cr & = 9896 \cr} $$