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

If Amit sold the bicycle to Nikhil for ₹ 1134 with no loss and no profit. Then the cost price must be ₹ 1134 including repairing cost.

Now the cost price excluding repairing cost = ₹ 1134 - ₹ 54 = ₹ 1080

Let the cost price of Raju be Rs x.

Then, selling price of Raju = x + 8x/100 = x + 2x/25 = 27x/25

Now the cost price of Amit = 27x/25 = 1080

or, x = (1080 x 25)/27 = Rs 1000.

Therefore,

cost price of Raju = Rs 1000 and selling price = Rs 1080 (8% profit)

cost price of Amit = Rs 1080 and selling price = Rs 1134; repairing cost = Rs 54 (no profit no loss )

cost price of Nikhil = Rs 1134.

Answer 2

Answer:

If Amit sold the bicycle to Nikhil for ₹ 1134 with no loss and no profit. Then the cost price must be ₹ 1134 including repairing cost.

Now the cost price excluding repairing cost = ₹ 1134 - ₹ 54 = ₹ 1080

Let the cost price of Raju be Rs x.

Then, selling price of Raju = x + 8x/100 = x + 2x/25 = 27x/25

Now the cost price of Amit = 27x/25 = 1080

or, x = (1080 x 25)/27 = Rs 1000.

Therefore,

cost price of Raju = Rs 1000 and selling price = Rs 1080 (8% profit)

cost price of Amit = Rs 1080 and selling price = Rs 1134; repairing cost = Rs 54 (no profit no loss )

cost price of Nikhil = Rs 1134.