Atul sold two sacks of rice for ₹19,200

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.
अतुल ने ₹ 19,200 प्रति बोरी की दर से दो बोरी चावल बेचे। एक पर उसे 20% का लाभ हुआ और दूसरे पर उसे 20% की हानि हुई। पूरे सौदे में उसका लाभ या हानि प्रतिशत ज्ञात करें।

7% profit 8% profit 5% loss 4% loss

Detailed Solution & Logic

Correct Answer:

4% loss

Selling price of each sack = ₹19,200
First sack (20% gain):
$ CP1 = \frac{19200}{1.20} = ₹16000 $
Second sack (20% loss):
$ CP2 = \frac{19200}{0.80} = ₹24000 $
Total Cost Price
$ CP = 16000 + 24000 = ₹40000 $
Total Selling Price
$ SP = 19200 + 19200 = ₹38400 $
Loss
Loss = 40000 - 38400 = ₹1600
Loss Percentage
Loss % =$ \frac{1600}{40000} \times 100 = 4% $
Answer = Overall loss = 4%