If 5 kg of salt costing Rs. 5/kg and 3 kg of salt costing Rs. 4/ kg are mixed, find the average cost of the mixture per kilogram.

Options

A. 4.5
B. 4.625
C. 4.75
D. 4.125

Answer

To find the average cost of the mixture per kilogram of salt, follow these steps:

### Step 1: Calculate the total cost of each type of salt.
- For the first type of salt:
- Cost per kg = Rs. 5
- Quantity = 5 kg
- Total cost = Cost per kg × Quantity = 5 × 5 = Rs. 25

- For the second type of salt:
- Cost per kg = Rs. 4
- Quantity = 3 kg
- Total cost = Cost per kg × Quantity = 4 × 3 = Rs. 12

### Step 2: Calculate the total cost of the mixture.
- Total cost of the mixture = Total cost of first salt + Total cost of second salt
- Total cost of the mixture = Rs. 25 + Rs. 12 = Rs. 37

### Step 3: Calculate the total quantity of the mixture.
- Total quantity = Quantity of first salt + Quantity of second salt
- Total quantity = 5 kg + 3 kg = 8 kg

### Step 4: Calculate the average cost per kilogram of the mixture.
- Average cost per kg = Total cost of the mixture / Total quantity
- Average cost per kg = Rs. 37 / 8 kg = Rs. 4.625

### Conclusion:
The average cost of the mixture per kilogram is Rs. 4.625.

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