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A tradesman sold an article at a loss of 20%. If the selling price had been increased by ts 100,there would have been a gain of 5%.what was the cost price of the article

Let Cost Price of the article be Rs.K. By selling at 20% loss, tradesman sells at (100-20)% of CP,i.e., (80/100)xK = 0.8K. If the price is increase by Rs.100, then selling price becomes = (0.8K + 100). He gains 5% with SP = (0.8K+100) and CP = K ==> Profit = SP - CP = (0.8K+100) - K = (100 - 0.2K). Now Profit (100 - 0.2K) = (5/100) of CP = 0.05xK ==> 0.25K = 100 or Cost Price K = 100/0.25 = 400