A person sold two watches for Rs 5500 each. Watch 1 was sold at a 20% profit and Watch 2 was sold at a 20% loss.
For Watch 1 (20% profit):
When an item is sold at 20% profit, the selling price is 120% of the cost price.
SP=CP×1.2
5500=CP×1.2
CP=1.25500
CP=1255000
CP=Rs4583.33
For Watch 2 (20% loss):
When an item is sold at 20% loss, the selling price is 80% of the cost price.
SP=CP×0.8
5500=CP×0.8
CP=0.85500
CP=855000
CP=Rs6875
Total Cost Price =4583.33+6875=Rs11458.33
Total Selling Price =5500+5500=Rs11000
Since Total Selling Price < Total Cost Price, there is a loss.
Loss =11458.33−11000=Rs458.33
Loss Percentage =11458.33458.33×100
Loss Percentage =4%
Therefore, the overall result is a 4% loss.