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If goods be purchased for Rs.450 and 1/3 is sold at a loss of 10%. At what gain % should the remainder is sold to has to gain 20% on the whole transaction?

Correct Answer: 35%

Explanation:

Given the cost price of the articles = Rs. 450


To get overall 20% gain,


Total Selling Price = (20/100) x 450 = 540



One third of the CP = 1/3 x 450 = Rs. 150


But given 1/3 of articles are sold at 10% loss


S.P of 1/3 of articles = 90% of 150


= 90 x 150/100 = 135


 


Then, S.P on remaining 2/3 goods must be


= 450 - 135 = 405 ...........(1)


CP on remaining goods


= 2/3 x 450 = 300 ............(2)



Profit = SP - CP = 405 - 300 = 105



Profit %  = (105/300) x 100


= 35%.


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