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

Difficulty: Easy

Correct Answer: Rs. 2,000

Explanation:

Given

  • Selling at Rs. 1920 gives Profit% = Loss% when sold at Rs. 1280.

Let cost price be C

Profit at 1920 = 1920 − CLoss at 1280 = C − 1280Given: 1920 − C = C − 12802C = 3200 ⇒ C = 1600


Price for 25% profit
SP = C(1 + 25%) = 1600 × 1.25 = Rs. 2,000


Final Answer: Sell at Rs. 2,000.

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