1. A shopkeeper sold first unit of an article to Aria at 20% discount and the second unit of the same article at 40% discount. If the shopkeeper earned an overall profit of 5%, the marked price of the article was what percent of the cost price of the article ?
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By: anil on 05 May 2019 01.20 am
Let the cost price of each article = Rs. $$100x$$ => C.P. of both articles = $$2 imes 100x = 200x$$ => Selling price = $$frac{105}{100} imes 200x = 210x$$ ------------------Eqn(1) Let the marked price = Rs. $$100y$$
Selling price of 1st article after 20% discount = $$frac{80}{100} imes 100y = 80y$$ Selling price of 2nd article after 40% discount = $$frac{60}{100} imes 100y = 60y$$ => Total selling price = $$80y + 60y = 140y$$ --------------------Eqn(2) Comparing eqns(1) & (2), we get : => $$210x = 140y$$ => $$frac{y}{x} = frac{210}{140} = frac{3}{2}$$ $$ herefore$$ Required % = $$frac{3}{2} imes 100 = 150 \%$$
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Selling price of 1st article after 20% discount = $$frac{80}{100} imes 100y = 80y$$ Selling price of 2nd article after 40% discount = $$frac{60}{100} imes 100y = 60y$$ => Total selling price = $$80y + 60y = 140y$$ --------------------Eqn(2) Comparing eqns(1) & (2), we get : => $$210x = 140y$$ => $$frac{y}{x} = frac{210}{140} = frac{3}{2}$$ $$ herefore$$ Required % = $$frac{3}{2} imes 100 = 150 \%$$