If 70% of total articles are sold at a profit of 20% and the remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?
- A8
- B12
- C16
- D6
Solution & Step-by-step Explanation
Let the total number of articles be 100 and the cost price of each article be ₹1.
Total Cost Price (CP) =100×1=₹100
Articles sold at 20% profit:
70% of 100=70 articles
Selling Price (SP) of these 70 articles =70×1.20=₹84
Articles sold at 20% loss:
Remaining articles =100−70=30 articles
Selling Price (SP) of these 30 articles =30×0.80=₹24
Total Selling Price (SP) =84+24=₹108
Overall Profit Percentage:
Profit %=
Total CP
Total SP−Total CP
×100
Profit %=
100
108−100
×100=8%
Total Cost Price (CP) =100×1=₹100
Articles sold at 20% profit:
70% of 100=70 articles
Selling Price (SP) of these 70 articles =70×1.20=₹84
Articles sold at 20% loss:
Remaining articles =100−70=30 articles
Selling Price (SP) of these 30 articles =30×0.80=₹24
Total Selling Price (SP) =84+24=₹108
Overall Profit Percentage:
Profit %=
Total CP
Total SP−Total CP
×100
Profit %=
100
108−100
×100=8%