Question : If 80% of total articles are sold at a profit of 25% and the remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?
Option 1: 15%
Option 2: 12.5%
Option 3: 16%
Option 4: 20%
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Correct Answer: 16%
Solution : Let the cost price of 1 article be Re. 1 and the number of articles be 100. So, the selling price (SP) of 80% article = Cost price of 80 articles + Profit = 80 + 25% of 80 = Rs. 100 Now, the selling price of the remaining 20% of articles = Cost Price of 20 articles – Loss = 20 – 20% of 20 = Rs. 16 The selling price of 100 articles = Rs. (100 + 16) = Rs. 116 So, net profit = 116 – 100 = Rs. 16 Profit percentage = $\frac{16}{100}×100$ = 16% Hence, the correct answer is 16%.
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