When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is ................... ?->(Show Answer!)

1. When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is ...................

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By: anil on 05 May 2019 02.10 am

Let marked price of monthly train pass = Rs. 100 When discount of 20% is given, => Selling price of ticket = $$frac{(100 - 20)}{100} imes 100 = Rs. 80$$ Let cost price = $$Rs. x$$ => Profit % = $$frac{80 - x}{x} imes 100 = 44$$ => $$frac{80 - x}{x} = frac{44}{100} = frac{11}{25}$$ => $$2000 - 25x = 11x$$ => $$11x + 25x = 36x = 2000$$ => $$x = frac{2000}{36} = $$ Rs. $$55.56$$ If discount is 29%, => Selling price = $$frac{(100 - 29)}{100} imes 100 = Rs. 71$$ => Profit % = $$frac{71 - 55.56}{55.56} imes 100$$ = $$frac{1544}{55.56} approx 27.8\%$$ => Ans - (D)

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