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%
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A 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.