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By purchasing an article at 20% discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs.200 as the profit. What was the original price of the article?OptionsNone of these444.44356289

Question

By purchasing an article at 20% discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs.200 as the profit. What was the original price of the article?OptionsNone of these444.44356289

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Solution

Let's solve this step by step:

  1. Let's assume the original price of the article is Rs. x.

  2. The trader bought the article at a 20% discount, so the purchase price is 80% of the original price, which is 0.8x.

  3. The trader then sold the article at a price 25% above the original price, so the selling price is 125% of the original price, which is 1.25x.

  4. The profit made by the trader is the selling price minus the purchase price, which is Rs. 200 according to the problem. So, we have the equation 1.25x - 0.8x = 200.

  5. Solving this equation gives us x = 200 / (1.25 - 0.8) = 200 / 0.45 = Rs. 444.44 (approximately).

So, the original price of the article was approximately Rs. 444.44.

This problem has been solved

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