A person sold two watches for Rs 5500 each. In the sale of the first watch, he made a profit of 20% and in the sale of the second watch, he incurred a 20% loss. What is his gain or loss percentage in total? |
5% gain 4% loss 5% loss 4% gain |
4% loss |
The correct answer is Option (2) → 4% loss Selling price (SP) of each watch = ₹5500 First watch (20% profit): $\text{CP}_1 = \frac{5500}{1.20} = ₹4583.33$ Second watch (20% loss): $\text{CP}_2 = \frac{5500}{0.80} = ₹6875$ Total Cost Price: $4583.33 + 6875 = ₹11458.33$ Total Selling Price: $5500 + 5500 = ₹11000$ Loss: $11458.33 - 11000 = ₹458.33$ Loss Percentage: $\frac{458.33}{11458.33} \times 100 \approx 4\%$ |