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

ConceptWord Problems of Equation in One Variable

#### 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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#### 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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