A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of ot...
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
Gain =(80/1600*100) % = 5%
View all questions of this testA trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of ot...
Let's break down the given information step by step:
1. Quantity of rice and its cost:
- The trader has 26 kg of rice at Rs. 20 per kg.
- The trader also has 30 kg of another variety of rice at Rs. 36 per kg.
2. Selling price of the mixture:
- The trader sells the mixture at Rs. 30 per kg.
Now, let's calculate the cost price of the mixture:
- Cost of 26 kg of rice at Rs. 20 per kg = 26 * 20 = Rs. 520
- Cost of 30 kg of rice at Rs. 36 per kg = 30 * 36 = Rs. 1080
Total cost price of the mixture = Rs. 520 + Rs. 1080 = Rs. 1600
Next, let's calculate the selling price of the mixture:
- Selling price of 1 kg of the mixture = Rs. 30
Now, let's calculate the profit:
- Profit = Selling price - Cost price
- Profit = (Selling price of 1 kg * Total quantity) - Cost price
- Profit = (30 * (26 + 30)) - 1600
- Profit = (30 * 56) - 1600
- Profit = 1680 - 1600
- Profit = Rs. 80
To calculate the profit percentage, we use the formula:
- Profit percentage = (Profit / Cost price) * 100
- Profit percentage = (80 / 1600) * 100
- Profit percentage = 5%
Therefore, the trader's profit percentage is 5%, which corresponds to option B.