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A shopkeeper marked a price of an article at x% above the cost price and he sold it discount of 0.5x%, then he earns 8% profit, Find the value of x, if x is greater than 20.
1. 50
2. 60
3. 80
4. 70
5. 90

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Correct Answer - Option 3 : 80

Given:

A shopkeeper marked a price of an article at x% above the cost price and he sold it discount of 0.5x%, then he earns 8% profit.

Calculation:

According to the question,

⇒ x – 0.5x – x(0.5x)/100 = 8

⇒ 0.5x – x2/200 = 8

⇒ x2 – 100x + 1600 = 0

⇒ x2 – 80x – 20x + 1600 = 0

⇒ x(x – 80) – 20(x – 80) = 0

⇒ (x – 80)(x – 30) = 0

⇒ x = 80, 20

According to the condition,

⇒ x = 80

∴ The value of x is 80.

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