if a number is increased by 8% of itself gives 135 , then that number is??

Suppose the number is x.
8% of a number = $x\times \frac{8}{100} = \frac{2x}{25}$
Now according to the question we have;
$$\begin{gathered} x+\frac{2x}{25} = 135 \\ \Rightarrow \frac{27x}{25} = 135 \\ \Rightarrow x = \frac{135\times 25}{27} = 125 \end{gathered}$$
Therefore the number is 125.