Question

Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending ₹ 54. Then he sold the bicycle to Nikhil for ₹ 1134 with no loss and no profit. Find the cost price of the bicycle for which Raju purchased it.

Answer 1

Let the cost price of the bicycle for which Raju purchased it be x.

Selling price of the bicycle = $108\%\mathrm{of}\mathrm{cost}\mathrm{price}$
= $\frac{108}{100}\times x$

Amit repaired it spending ₹ 54.

Cost price of the bicycle for which Nikhil purchased it = $\frac{108}{100}x+54$
$$\begin{gathered} \Rightarrow 1134=\frac{108}{100}x+54 \\ \Rightarrow 1134-54=\frac{27}{25}x \\ \Rightarrow 1080=\frac{27}{25}x \\ \Rightarrow 1080\times 25=27x \\ \Rightarrow x=\frac{1080\times 25}{27} \\ \Rightarrow x=1000 \end{gathered}$$

Hence, the cost price of the bicycle for which Raju purchased it is ₹ 1000.