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

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→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

$solution$

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.

•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.