A trader gains 72% by selling an article after two successive discounts of 50% and 14% on its marked price. If the cost price of the article is increased by 36%, then what single discount should he now give on the same marked price to get the same profit percentage as earlier?
41.52%
Let the marked price be ₹100. After successive discounts of 50% and 14%, the selling price = \(100 \times 0.50 \times 0.86 = 43\).
Since this selling price gives a 72% profit, the cost price = \(\dfrac{43}{1.72} = 25\).
New cost price after a 36% increase = \(25 \times 1.36 = 34\).
To keep the same 72% profit on the same marked price of 100, the new selling price should be \(34 \times 1.72 = 58.48\).
Single discount required = \(100 - 58.48 = 41.52\%\).
Hence, the trader should give a single discount of 41.52%.
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