Question

Raju sold a bicycle to Amit at 8% profit Amit repaired it spending 54 Rupees then he sold the bicycle to Nikhil for 1134 rupees with no loss and profit find the cost of the bicycle for which Raju purchase it ​

Answer 1

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

• Let the cost price at which Raju bought the bicycle be x.
• Now Raju sold the bicycle to Amit at 8% profit.
• Selling price of Raju = 1.08x.
• Now Amit repaired the bicycle and spend Rs. 54 and sold it to Nikhil for 1134 Rs. at no profit no loss.
• Selling price of Amit = 1.08x + 54 = 1134

(As Amit bought the bicycle for Rs. 1.08x from Raju and spend 54 rupees and then sold it for no loss and no profit ).

• Solving the above equation, we get

1.08x = 1080

x = 1000

• Therefore the cost price at which Raju purchased the bicycle is Rs. 1000