Idrak bought 80 kg of sugar at Tk. 40 per kg and 40 kg of rice at Tk. 50 per kg. At approximately what rate per kg should he sell the mixture to earn a profit of 10% on the total cost?

Question: Idrak bought 80 kg of sugar at Tk. 40 per kg and 40 kg of rice at Tk. 50 per kg. At approximately what rate per kg should he sell the mixture to earn a profit of 10% on the total cost?

Solution:
Cost of sugar = 80 × 40 = 3200
and cost of rice = 40 × 50 = 2000

Total cost price = 3200 + 2000 = 5200
And total quantity = 80 + 40 = 120 kg

To earn 10% profit,
Total Selling Price = 5200 × (110/100) = 5720

∴ Required selling price per kg = 5720/120 = 47.66 = 47.7