A trader bought two articles for Rs. 17,000. He sold one at a profit of 20% and the other at loss of

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01 Jun 2022 Profit & Loss

A trader bought two articles for Rs. 17,000. He sold one at a profit of 20% and the other at loss of 25%. If the selling price of an article sold at 25% loss is 500/9% of the selling price of an article sold at 20% profit. The gain or loss percentage in the whole transaction is

OPtion

1) 1.17% Gain
2) 2.35% Gain
3) 3.82% Loss
4) 1.77% Loss
5) 3.82% Gain
6) 5.85% Gain
7) 1.17% Loss
8) 2.35% Loss
9) 5.85% Loss
10) None of these

Solution

Let the CP of two articles be Rs. x and Rs. (17000-x) respectively and first article is sold at 20% profit and second at 25% loss.
SP of an article at 20% gain = (120/100)*x
SP of an article at 25% loss = (75/100)*(17000-x)
Then, (75/100)*(17000-x) = (500/9)*(1/100)*(120/100)*x
Solving, we get x=9000
.'. CP of an articles are Rs. 9000 and Rs. 8000
Total SP = (120/100)*9000 + (75/100)*8000 = 16800
Loss = CP - SP = 17000 - 16800 = Rs. 200
% Loss = (200/17000)*100 = 1.17%

Correct Option: 7 Best Solution (0)