By selling an article for Rs. 1,008, A suffers as much loss as she would have gained by selling it at a 20% profit. If she sells it for Rs. 1,354.50, then her profit percentage is:
- A8%
- B10%
- C12.5%
- D7.5%
Solution & Step-by-step Explanation
Let the Cost Price of the article be CP.
Profit at 20% = 0.20×CP
Given that the loss suffered by selling at Rs. 1,008 is equal to this 20% profit:
Loss=CP−1008
CP−1008=0.20×CP
CP−0.20×CP=1008
0.80×CP=1008
CP=
0.80
1008
=1260
Now, new Selling Price (SP) = Rs. 1,354.50
Profit=SP−CP=1354.50−1260=Rs. 94.50
Profit %=
CP
Profit
×100=
1260
94.50
×100=
126
945
=7.5%
Profit at 20% = 0.20×CP
Given that the loss suffered by selling at Rs. 1,008 is equal to this 20% profit:
Loss=CP−1008
CP−1008=0.20×CP
CP−0.20×CP=1008
0.80×CP=1008
CP=
0.80
1008
=1260
Now, new Selling Price (SP) = Rs. 1,354.50
Profit=SP−CP=1354.50−1260=Rs. 94.50
Profit %=
CP
Profit
×100=
1260
94.50
×100=
126
945
=7.5%