If 8kg of coffee costing 2,000 a kg with 12 kg of another kind of coffee costing 2,200 a kg what is the cost of the mixture per kg
With the aid of solving if 8kg of coffee costing 2,000 a kg with 12 kg of another kind of coffee costing 2,200 a kg what is the cost of the mixture per kg
8*2000 + 12*2200 = (8+12)x
x = 2120
To find the cost of the mixture per kilogram, we will have to calculate the total cost of the two types of coffee and then divide it by the total weight of the mixture.
First, let's determine the total cost of the 8 kg of coffee costing 2,000 per kg. We can do this by multiplying the cost per kg by the weight of the coffee:
Total cost of the 8 kg coffee = 8 kg * 2,000 Rs/kg
= 16,000 Rs
Next, let's calculate the total cost of the 12 kg of another kind of coffee costing 2,200 per kg:
Total cost of the 12 kg coffee = 12 kg * 2,200 Rs/kg
= 26,400 Rs
Now, let's find the total weight of the mixture:
Total weight of the mixture = 8 kg + 12 kg
= 20 kg
To determine the cost of the mixture per kg, we need to divide the total cost of the mixture by the total weight of the mixture:
Cost of the mixture per kg = (Total cost of the 8 kg coffee + Total cost of the 12 kg coffee) / Total weight of the mixture
= (16,000 Rs + 26,400 Rs) / 20 kg
= 42,400 Rs / 20 kg
= 2,120 Rs/kg
Therefore, the cost of the mixture per kilogram is 2,120 Rs.