10 kg of wheat costing Rs 12 per kg and 15 kg of wheat costing Rs 20 per kg are mixed. Find the average cost of the mixture per kg.

Answer

To find the average cost of the mixture of wheat, we can follow these steps:

### Step 1: Calculate the total cost of each type of wheat.
- For the first type of wheat:
- Weight = 10 kg
- Cost per kg = Rs 12
- Total cost = Weight × Cost per kg = 10 kg × Rs 12/kg = Rs 120

- For the second type of wheat:
- Weight = 15 kg
- Cost per kg = Rs 20
- Total cost = Weight × Cost per kg = 15 kg × Rs 20/kg = Rs 300

### Step 2: Calculate the total cost of the mixture.
- Total cost of the mixture = Total cost of first type + Total cost of second type
- Total cost = Rs 120 + Rs 300 = Rs 420

### Step 3: Calculate the total weight of the mixture.
- Total weight = Weight of first type + Weight of second type
- Total weight = 10 kg + 15 kg = 25 kg

### Step 4: Calculate the average cost per kg of the mixture.
- Average cost per kg = Total cost of the mixture / Total weight of the mixture
- Average cost = Rs 420 / 25 kg = Rs 16.8 per kg

### Final Answer:
The average cost of the mixture per kg is Rs 16.8.

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