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Select the correct answerBy 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?Options444.44356289None of these

Question

Select the correct answerBy 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?Options444.44356289None of these

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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 cost price for the trader is 80% of the original price, which is 0.8x.

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

  4. The trader's profit is the selling price minus the cost price, which is Rs. 200 according to the problem. So, we can set up the equation 1.25x - 0.8x = 200.

  5. Solving this equation gives x = 200 / 0.45 = 444.44.

So, the original price of the article was Rs. 444.44. Therefore, the correct answer is 444.44.

This problem has been solved

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