1. **Problem Statement:** A trader mixes 26 kgs of rice costing 720 per kg with 30 kgs of rice costing 36 per kg. He sells the mixture at 30 per kg. We need to find his profit percentage. 2. **Formula for Profit Percentage:** $$\text{Profit \%} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100$$ 3. **Calculate Cost Price (CP):** Cost price of 26 kgs rice = $26 \times 720 = 18720$ Cost price of 30 kgs rice = $30 \times 36 = 1080$ Total cost price = $18720 + 1080 = 19800$ 4. **Calculate Selling Price (SP):** Total weight = $26 + 30 = 56$ kgs Selling price per kg = $30$ Total selling price = $56 \times 30 = 1680$ 5. **Check the selling price calculation:** There seems to be a mistake in the selling price calculation in the problem statement. The selling price should be $56 \times 30 = 1680$, but this is less than the cost price $19800$, which is not possible for a profit. 6. **Re-examining the problem:** The cost price per kg for the first rice is 720, which seems very high compared to 36 for the second. Possibly, the units or values are inconsistent. 7. **Assuming the cost price for the first rice is 7.20 (not 720):** Cost price of 26 kgs rice = $26 \times 7.20 = 187.20$ Cost price of 30 kgs rice = $30 \times 36 = 1080$ Total cost price = $187.20 + 1080 = 1267.20$ Selling price = $56 \times 30 = 1680$ 8. **Calculate profit:** Profit = $1680 - 1267.20 = 412.80$ 9. **Calculate profit percentage:** $$\text{Profit \%} = \frac{412.80}{1267.20} \times 100 = 32.57\%$$ 10. **Conclusion:** The profit percentage is approximately 32.57%, which is not among the options given. However, if the problem intended 720 as 7.20, the profit is positive. **Summary:** - Always check units and values carefully. - Use the profit percentage formula. - Calculate total cost price and total selling price. - Find profit and then profit percentage. This method helps understand how to calculate profit percentage in mixtures.