Question

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

Answer 1

Step-by-step explanation:

Let the cost price at which Raju purchased the bicycle be Rs x. Since, Raju sold the bicycle at 8% profit to Amit. ∴ Selling price of bicycle for Raju = x + 8% of x

Since, Amit spent Rs 54 on repairing the bicycle and then sold it to Nikhil for Rs 1134, at no loss and no profit. ∴ Selling price of bicycle + repairing cost = Rs 1134

The cost price of the bicycle at which Raju purchased it is Rs 1000.

Answer 2

Answer:

Raju bought the bicycle for Rs. 1000

Step-by-step explanation:

Let $x$ be the cost price of the bicycle for which Raju purchased it. Raju sold it at an 8% profit. The price of the bicycle that Raju sold is,

$x+\frac{8}{100}x = 1.08x$

Amit spend 54 more and sold the bicycle to Nikhil at the rate of Rs. 1134 and he has no profit and no loss. This means that

$1.08x+54=1134$

On solving the equation, we get

$1.08x=1134-54=1080\\\\\implies x= \dfrac{1080}{1.08}= 1000$

So Raju bought the bicycle for Rs. 1000