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The Percentage of Profit Earned by Selling an Article for ₹1920 is Equal to the Percentage Loss Incurred by Selling the Same Article for ₹1280. at What Price Should the Article Be Sold to Make a 25% - Mathematics

MCQ

The percentage of profit earned by selling an article for ₹1920 is equal to the percentage loss incurred by selling the same article for ₹1280. At what price should the article be sold to make a 25% profit?

Options

  • ₹2000

  • ₹2200

  • ₹2400

  • Data inadequate

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Solution

₹2000
Explanation : 
Let CP be ₹ x.

Then, `((1920-x))/(x)xx100= (x-1280)/(x)xx100`

⇒ 1920 - x = x - 1280
⇒ 2x = 3200 ⇒ x = 1600
∴ Required SP = 125% of ₹1600

= ₹`(125/100xx1600)` = ₹2000

Concept: Profit and Loss (Entrance Exam)
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