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

Solution (By Examveda Team)

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