| Calculator | Pen |
Shopkeeper | Cost Price | Profit & Loss% | Marked Price | Selling Price | Discount% | Cost Price | Profit & Loss% | Marked Price | Selling Price | Discount% |
Gopal | 5R | -- | 7.5R | -- | 20% | 5R | -- | 8R | -- | 50% |
Mohan | 2R | -- | 3R | -- | --- | 5R | -- | 7.5R | -- | 20% |
Sohan | -- | +60% | -- | -- | 20% | 6R | -- | 13.5 R | -- | 50% |
CP denotes Cost Price.
MP denotes Marked Price.
SP denotes Selling Price.
For Mohan:
CP of Pen = 5R
SP of Pen = MP * (100-20)/100 = 7.5R * 80/100 = 6R
For Sohan:
CP of Pen = 6R
SP of Pen = (6R + 20) ..... eq.(1)
Given, the selling price of pen of Sohan is 30% more than the cost price of pen of Mohan which means SP of pen of Sohan = 5R * 130/100 = 6.5R ..... eq.(2)
Now after equating eq.(1) and eq.(2), we have
6.5R = 6R + 20
.5R = 20
R = 40
CP of Pen of Sohan = 6R = 6 * 40 = Rs.240
SP of Pen of Sohan = 240 + 20 = Rs.260
Profit% = (260-240)/240 * 100 = 8(1/3)%