1. If a merchant offers a discount of 30% on the list price, then he makes a loss of 16%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?





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  • By: anil on 05 May 2019 02.10 am
    Let list price = Rs. $$100x$$ After 30% discount, selling price = $$frac{100 - 30}{100} imes 100x$$ = Rs. $$70x$$ Let Cost price = Rs. $$y$$ => Loss % = $$frac{y - 70x}{y} imes 100 = 16$$ => $$frac{y - 70x}{y} = frac{16}{100} = frac{4}{25}$$ => $$25y - 1750x = 4y$$ => $$25y - 4y = 1750x$$ => $$y = frac{1750x}{21} = 83.33x$$ If discount = 20%, => Selling price = $$frac{100 - 20}{100} imes 100x = Rs. 80x$$ $$ herefore$$ Loss % = $$frac{83.33x - 80x}{83.33x} imes 100$$ = $$3.99 approx 4 \%$$ => Ans - (B)
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