Question

Bhujangrao bought a jeep through an agent. Including the commission, he paid Rs 3,03,000 for it. If the commission was paid at 1%, find the original price of the jeep.

Answer 1

Amount paid by Bhujangrao including commission = Rs 3,03,000
Commission charged by agent = 1%
Commission = 1% of original price of the jeep
Let original price of the jeep be Rs x.
Original price of the jeep = Amount paid by Bhujangrao including commission − Commission

$$\begin{gathered} \Rightarrow x=303000-1\%ofx \\ \Rightarrow x=303000-x\times \frac{1}{100} \\ \Rightarrow x+\frac{x}{100}=303000 \\ \Rightarrow \frac{101x}{100}=303000 \\ \Rightarrow x=\frac{303000\times 100}{101} \\ \Rightarrow x=\mathrm{Rs}300000 \end{gathered}$$
∴ Original price of the jeep is Rs 3,00,000.