The selling price of 84 items is equal to the cost price of 105 items. What is the percentage of profit gained in the transaction?
- A28%
- B25%
- C21%
- D20%
Solution & Step-by-step Explanation
Given:
84×SP=105×CP
CP
SP
=
84
105
Simplifying the fraction by dividing numerator and denominator by 21:
CP
SP
=
4
5
Let CP=4 units and SP=5 units.
Profit=SP−CP=5−4=1 unit
Profit percentage:
Profit %=(
CP
Profit
)×100%=
4
1
×100%=25%
84×SP=105×CP
CP
SP
=
84
105
Simplifying the fraction by dividing numerator and denominator by 21:
CP
SP
=
4
5
Let CP=4 units and SP=5 units.
Profit=SP−CP=5−4=1 unit
Profit percentage:
Profit %=(
CP
Profit
)×100%=
4
1
×100%=25%