Deepak wants to sell his bike at a profit of 15.68%. But due to certain circumstances, he has to give a discount of 23.68%. What should be his mark up percentage to gain his profit?

Let the cost price be 100; the desired selling price for a 15.68% profit is 115.68. The shopkeeper gives a 23.68% discount on the marked price, so the selling price equals Marked Price times (1 - 0.2368). Setting 0.7632 times Marked Price equal to 115.68 gives a Marked Price of roughly 151.57. This means the required markup percentage on the cost price is 51.57%.

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