If goods be purchased for 450 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction ? ?->(Show Answer!)

1. If goods be purchased for 450 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction ?

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By: anil on 05 May 2019 01.54 am

Let no. of goods purchased be 3 for 450 => Price of 1 good = 150 One third i.e. $$frac{3}{3} = 1$$ is sold at 10% discount. => 10% of 150 = $$frac{10}{100}$$ * 150 = 15 => S.P. of 1 good = 150-15 = 135 Overall gain % = 20% => $$frac{20}{100}$$ * 450 = 90 => Total S.P. for 3 goods = 450+90 = 540 Since 1 good is sold at 135 => S.P. of remaining 2 = 540-135 = 405 C.P. of remaining 2 goods = 150*2 = 300 => Required profit % = $$frac{405-300}{300}$$ * 100 = 35%

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MCQ->If goods be purchased for 450 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction ?....