Q:
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?
Answer & Explanation
Answer: A) 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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