SSC (English Medium) Class 8Maharashtra State Board
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Raju Sold a Bicycle to Amit at 8% Profit. Amit Repaired It Spending ₹ 54. Then He Sold the Bicycle to Nikhil - SSC (English Medium) Class 8 - Mathematics

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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.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 12: Equations in one variable
Practice Set 12.2 | Q: 8 | Page no. 80
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.
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