Raghavan purchased a scooter at 1315 of its selling price and sold it at 12% more than its selling price. His gain is = ?

Answer: Option D

$$\begin{array}{rl}& \text{According to the question,}\\ & \text{Cost price}=\frac{13}{15}\text{ Selling price}\\ & \frac{\text{Cost price}}{\text{Selling price}}=\frac{13}{15}\end{array}$$
If they sold 12% more then its, old selling price.
So, new selling price is
$$\begin{array}{rl}& =15+\frac{12}{100}\times 15\\ & =16.8\end{array}$$
∴ Profit = Selling price - Cost price
              = 16.8 - 13
              = 3.8
$$\begin{array}{rl}& \text{Profit }\%=\frac{3.8}{13}\times 100\\ & =29\frac{3}{13}\%\end{array}$$