Question

When Nikita sold her old two-wheeler through an agent, she got Rs 17,150 for it after paying the agent. If the commission was paid at 2%, find the selling price of the vehicle.

Answer 1

Price of the two wheeler after paying the commission = Rs 17,150
Commission charged by agent = 2%
Let the original selling price of the vehicle be Rs x.
Commission = 2% of x
$$\begin{gathered} =x\times \frac{2}{100} \\ =\frac{x}{50} \end{gathered}$$
Price of the two-wheeler after paying the commission = Original price $-$ Commission
$$\begin{gathered} \Rightarrow 17150=x-\frac{x}{50} \\ \Rightarrow 17150=\frac{49x}{50} \\ \Rightarrow x=\frac{17150\times 50}{49} \\ \Rightarrow x=\mathrm{Rs}17500 \end{gathered}$$
∴ Selling price of the vehicle is Rs 17,500.