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?Options356289None of these444.44
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?Options356289None of these444.44
Solution
Let's solve this step by step:
Step 1: Let's assume the original price of the article is Rs. x.
Step 2: The trader buys the article at a 20% discount, so the cost price for the trader is 80% of the original price, which is 0.8x.
Step 3: The trader then sells the article at a price 25% above the original price, so the selling price is 125% of the original price, which is 1.25x.
Step 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.
Step 5: Solving this equation gives x = 200 / 0.45 = 444.44.
So, the original price of the article was Rs. 444.44.
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