Jatin buys an article for 10% less than its value and sells it for 10% more than its value. His gain percent is
- A20%
- B22
9
7
% - C22
9
2
% - DNone of the above
Solution & Step-by-step Explanation
Let the true actual value of the article be Rs. 100.
Cost Price (CP): Jatin buys it for 10% less than its true value.
CP=100−(10% of 100)=100−10=Rs. 90
Selling Price (SP): Jatin sells it for 10% more than its true value.
SP=100+(10% of 100)=100+10=Rs. 110
Profit Calculation:
Total Profit=SP−CP=110−90=Rs. 20
Gain Percentage (Gain %):
Gain %=(
CP
Profit
)×100
Gain %=(
90
20
)×100=
9
200
=22
9
2
%
Cost Price (CP): Jatin buys it for 10% less than its true value.
CP=100−(10% of 100)=100−10=Rs. 90
Selling Price (SP): Jatin sells it for 10% more than its true value.
SP=100+(10% of 100)=100+10=Rs. 110
Profit Calculation:
Total Profit=SP−CP=110−90=Rs. 20
Gain Percentage (Gain %):
Gain %=(
CP
Profit
)×100
Gain %=(
90
20
)×100=
9
200
=22
9
2
%