The difference between 38% of a number and 24% of the same number is Rs. 135.10. What is 40% of that number ?

Answer: Option C

Let the number be x
Then,
$$\begin{array}{rl}& 38\%\text{ of }x-24\%\text{of }x=135.10\\ & \Rightarrow \frac{38}{100}x-\frac{24}{100}x=135.10\\ & \Rightarrow \frac{14}{100}x=135.10\\ & \Rightarrow x=\left(\frac{135.10\times 100}{14}\right)\\ & \Rightarrow x=965\\ & \therefore 40\%\text{ of 965 :}\\ & =\left(\frac{40}{100}\times 965\right)\\ & =386\end{array}$$