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%
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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