What is the value of 99 1199 + 99 1399 + 99 1599 + ........ + 99 6799?

Answer: Option A

$$\begin{array}{rl}& 99\frac{11}{99}+99\frac{13}{99}+99\frac{15}{99}+........+99\frac{67}{99}\\ & \text{Number of term}=\frac{67-11}{2}+1=29\\ & =99\times 29+\frac{1}{99}\left(11+13+15+........+67\right)\\ & =2871+\frac{1}{99}\left[\frac{29}{2}\left(2\times 11+\left(29-1\right)2\right)\right]\\ & =2871+\frac{1}{99}\left[\frac{99}{2}\left(22+56\right)\right]\\ & =2871+\frac{1}{99}\left(29\times 39\right)\\ & =2871+\frac{1131}{99}\\ & =2871+\frac{377}{33}\\ & =\frac{95120}{33}\end{array}$$