An article is sold for Rs. x. If it is sold at 66
3
2
% of this price, there is a loss of 20%. What is the percentage profit when it is sold for Rs. x?
- A33
3
1
% - B20%
- C25%
- D30%
Solution & Step-by-step Explanation
Let the original selling price be x.
The new selling price is 66
3
2
% of x=
3
2
x.
At this new selling price, there is a loss of 20%, which means the selling price is 80% of the cost price (CP):
3
2
x=
100
80
⋅CP
3
2
x=
5
4
⋅CP
CP=
3
2
×
4
5
⋅x=
6
5
x
If the article is sold for its original selling price Rs. x:
Profit=SP−CP=x−
6
5
x=
6
1
x
Profit Percentage=
CP
Profit
×100=
6
5
x
6
1
x
×100=
5
1
×100=20%
The new selling price is 66
3
2
% of x=
3
2
x.
At this new selling price, there is a loss of 20%, which means the selling price is 80% of the cost price (CP):
3
2
x=
100
80
⋅CP
3
2
x=
5
4
⋅CP
CP=
3
2
×
4
5
⋅x=
6
5
x
If the article is sold for its original selling price Rs. x:
Profit=SP−CP=x−
6
5
x=
6
1
x
Profit Percentage=
CP
Profit
×100=
6
5
x
6
1
x
×100=
5
1
×100=20%