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A shopkeeper marks his goods 40% above cost price and allows a discount of 20%. What is his net profit percentage?
10%
12%
15%
8%
12%
Use the net percentage change formula: x+y+(xy/100), where markup is positive (+40) and discount is negative (тИТ20).
Markup percentage = 40%, Discount percentage = 20%.
Net%=x+y+100x├ЧyтАЛ
Use the net percentage change formula: x+y+(xy/100), where markup is positive (+40) and discount is negative (тИТ20).
Students often wrongly calculate it as 40тИТ20=20%, forgetting that the discount applies to the marked price, not the original cost price.
Define variables
Let markup be x=+40 and discount be y=тИТ20.
x=40,y=тИТ20
Apply Successive Percentage Formula
Plug the values into the net percentage formula to find the effective profit.
Net%=40тИТ20+10040├Ч(тИТ20)тАЛ
Calculate result
Solve the arithmetic expression: 20тИТ8=12.
Net%=20тИТ8=12%
B is correct because the effective profit percentage calculated via the successive change formula is 12%.
This formula is identical to the one used for finding the resultant of two successive percentage changes, such as in population growth or compound interest over two periods.
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