Question

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

Answer 1

$x$ be the price at which Raju bought the Cycle is given that he sold at $8\%$ profit.

$\therefore$ Selling price is $\frac{108x}{100}$

Amit bought it at $Rs.\frac{108x}{100}$ and spent $Rs.54$ on repairing.

Sold it to Nikhil for $Rs.1134$ with no loss and no profit.

$\therefore \frac{108x}{100}+54=1134$

$\frac{108x}{100}=1134-54$

$\frac{108x}{100}=1080$

$x=Rs.1000$

$\therefore$ Raju bought the aycle for $Rs.1000$