If one-seventh of a number exceeds its eleventh part by 100, then the number is :

Answer: Option D

Let the number be x
Then,
$$\begin{array}{rl}& \Rightarrow \frac{1}{7}x-\frac{1}{11}x=100\\ & \Rightarrow \frac{4x}{77}=100\\ & \Rightarrow x=\frac{7700}{4}\\ & \Rightarrow x=1925\end{array}$$