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?
Answer & explanation
Correct answer: option 2
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:
$\frac{458.33}{11458.33} \times 100 \approx 4\%$