A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ? ?->(Show Answer!)

1. A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ?

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By: anil on 05 May 2019 01.53 am

Let original M.P. = $$100x$$ Discounted amount = $$frac{20}{100} * 100x = 20x$$ => Amount at which trader buys = $$100x-20x$$ => C.P. = $$80x$$ Profit amount = $$frac{25}{100} * 80x = 20x$$ => Amount at which trader should sell = $$20x+80x$$ => S.P. = $$100x$$ Let the price at which he marked his price = $$y$$ => $$frac{y-100x}{y}$$ * 100 = 20 => $$4y = 500x$$ => $$y = 125x$$ Now, % by which he should mark up his price more than the original marked price = $$frac{125x-100x}{100x}$$ * 100 = 25%

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