The cost price of 21 articles is equal to the selling price of 15 articles. Find the gain or loss percentage.
- A23% loss
- B22
7
1
% gain - C15% loss
- D40% gain
Solution & Step-by-step Explanation
Let the cost price (CP) of 1 article be Rs. 1.
Then, the cost price of 21 articles = Rs. 21.
According to the problem:
Selling Price (SP) of 15 articles=CP of 21 articles=Rs. 21
Now, we find the cost price of 15 articles:
CP of 15 articles=Rs. 15
Since SP>CP, there is a gain:
Gain=SP−CP=21−15=Rs. 6
Gain Percentage=(
CP of 15 articles
Gain
)×100%
Gain Percentage=(
15
6
)×100%=
5
2
×100%=40%
Thus, there is a 40% gain.
Then, the cost price of 21 articles = Rs. 21.
According to the problem:
Selling Price (SP) of 15 articles=CP of 21 articles=Rs. 21
Now, we find the cost price of 15 articles:
CP of 15 articles=Rs. 15
Since SP>CP, there is a gain:
Gain=SP−CP=21−15=Rs. 6
Gain Percentage=(
CP of 15 articles
Gain
)×100%
Gain Percentage=(
15
6
)×100%=
5
2
×100%=40%
Thus, there is a 40% gain.