Question : The selling prices of the two articles are equal. If the first article is sold at a profit of 20% and the second article is sold at a loss of 20%, what will be the overall loss percentage?
Option 1: 4%
Option 2: 3.5%
Option 3: 2.5%
Option 4: 2%
Correct Answer: 4%
Solution :
If the selling prices of the two articles are equal and one article is sold at a profit of $x$% and the other is sold at a loss of $x$%, then there will be a loss of $\frac{x^2}{100}$%.
So, loss% = $\frac{20^2}{100}$%
= 4%
Hence, the correct answer is 4%.
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