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
Solution
Let's solve this step by step:
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Let's assume the original price of the article is Rs. x.
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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.
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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.
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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.
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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.
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