Two televisions are sold for ₹7,980 each, gaining 5% from one and losing 5% from the other. Find the gain or loss percentage in the whole transaction
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 0.25% loss .
Let the cost price of the first television = x
Selling price = 7980, gain = 5% → 7980 = x + 5% of x = 1.05x
x = 7980 ÷ 1.05 = 7600
Cost price of second television = y
Selling price = 7980, loss = 5% → 7980 = y − 5% of y = 0.95y
y = 7980 ÷ 0.95 = 8400
Total cost price = 7600 + 8400 = 16000
Total selling price = 7980 × 2 = 15960
Overall loss = 16000 − 15960 = 40
Loss % = (40 ÷ 16000) × 100 = 0.25%