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A shopkeeper marks his goods 20% above the cost price and allows a discount of 10%. What is his net profit percentage?
8%
10%
12%
6%
8%
Use the formula x+y+100xyтАЛ where x is the markup percentage (+20) and y is the discount percentage (-10).
Markup percentage = 20%, Discount percentage = 10%
Net%change=x+y+100x├ЧyтАЛ
Use the formula x+y+100xyтАЛ where x is the markup percentage (+20) and y is the discount percentage (-10).
Many students subtract the discount directly from the markup (20% - 10% = 10%), forgetting that the discount applies to the marked price, not the original cost price.
Define the variables
Let x be the markup percentage (+20%) and y be the discount percentage (-10%).
x=20,y=тИТ10
Apply the Net Percentage Change formula
Substitute the values into the formula to find the net percentage profit.
Profit%=20тИТ10+10020├Ч(тИТ10)тАЛ
Calculate the result
Simplify the expression: 20тИТ10=10, and 100тИТ200тАЛ=тИТ2. Thus, 10тИТ2=8.
Profit%=10тИТ2=8%
A is correct because applying the net percentage formula 20тИТ10+(20├ЧтИТ10)/100 yields a net profit of 8%.
This concept is identical to successive percentage changes (e.g., population growth or compound interest for two years), so memorize the formula to solve all such problems instantly.
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