A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. In this transaction, what is his profit percentage?
- A7.5%
- B10%
- C5.25%
- D6%
Solution & Step-by-step Explanation
Let the cost price of rice be Rs. 1 per kg.
Total cost price for 15 kg = Rs. 15.
Let's calculate the total profit/loss value from each part:
6 kg sold at 20% profit:
Profit
1
=6×
100
20
=1.2
6 kg sold at 0% profit/loss:
Profit
2
=6×0=0
3 kg sold at 10% loss:
Loss
3
=3×(−
100
10
)=−0.3
Net profit = 1.2+0−0.3=0.9
Overall profit percentage:
Profit Percentage=
Total Cost Price
Net Profit
×100=
15
0.9
×100=
15
90
=6%
Total cost price for 15 kg = Rs. 15.
Let's calculate the total profit/loss value from each part:
6 kg sold at 20% profit:
Profit
1
=6×
100
20
=1.2
6 kg sold at 0% profit/loss:
Profit
2
=6×0=0
3 kg sold at 10% loss:
Loss
3
=3×(−
100
10
)=−0.3
Net profit = 1.2+0−0.3=0.9
Overall profit percentage:
Profit Percentage=
Total Cost Price
Net Profit
×100=
15
0.9
×100=
15
90
=6%