1. An article is sold at a loss of 10%. Its cost price is Rs.800. A discount of 20% was offered on the labelled price while selling. What is the loss per cent at the labelled price ?
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By: anil on 05 May 2019 01.38 am
Let labelled price of the item = $$Rs. 100x$$
Discount % = 20% => Selling price = $$100x-frac{20}{100} imes 100x = Rs. 80x$$ Cost price = Rs. 800 Loss % = $$frac{800-80x}{800} imes 100=10$$ => $$frac{800-80x}{8}=10$$ => $$100-10x=10$$ => $$10x=100-10=90$$ => $$x=frac{90}{10}=9$$ Thu, labelled price = $$100 imes 9 = Rs. 900$$ and Selling price = $$80 imes 9 = Rs. 720$$ $$ herefore$$ Loss % at labelled price = $$frac{900-720}{900} imes 100$$
= $$frac{180}{9}=20\%$$ => Ans - (C)
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Discount % = 20% => Selling price = $$100x-frac{20}{100} imes 100x = Rs. 80x$$ Cost price = Rs. 800 Loss % = $$frac{800-80x}{800} imes 100=10$$ => $$frac{800-80x}{8}=10$$ => $$100-10x=10$$ => $$10x=100-10=90$$ => $$x=frac{90}{10}=9$$ Thu, labelled price = $$100 imes 9 = Rs. 900$$ and Selling price = $$80 imes 9 = Rs. 720$$ $$ herefore$$ Loss % at labelled price = $$frac{900-720}{900} imes 100$$
= $$frac{180}{9}=20\%$$ => Ans - (C)