#### 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.

#### Solution

Let the cost price of the bicycle for which Raju purchased it be x.

Selling price of the bicycle = 108% of cost price

= `108/100 xx "x"`

Amit repaired it spending ₹ 54.

Cost price of the bicycle for which Nikhil purchased it = `108/100 "x" + 54`

⇒ 1134 = `108/100"x" + 54`

⇒ 1134 - 54 = `27/25"x"`

⇒ 1080 x 25 = 27x

⇒ x = `(1080 xx 25)/27`

⇒ x = 1000

Hence, the cost price of the bicycle for which Raju purchased it is ₹ 1000.

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Solution Raju Sold a Bicycle to Amit at 8% Profit. Amit Repaired It Spending ₹ 54. Then He Sold the Bicycle to Nikhil Concept: Word Problems of Equation in One Variable.