Question

Atul sold two sacks of rice for ₹19,200 each. On one, he gained 20% and on the other, he lost 20%. Find his gain or loss percentage in the whole transaction.

• A. 8% profit
• B. 7% profit
• C. 4% loss
• D. 5% loss

Answer 1

Answer:

C. 4% loss

Selling price of each sack = ₹19,200

First sack (20% gain)

$\text{CP}_1 = \frac{19200}{1.2} = 16000$

Second sack (20% loss)

$\text{CP}_2 = \frac{19200}{0.8} = 24000$

Total Cost Price

$16000 + 24000 = 40000$

Total Selling Price

$19200 + 19200 = 38400$

Net Result

$\text{Loss} = 40000 - 38400 = 1600$
Loss %$= \frac{1600}{40000} \times 100 =${4%}