30 kg of rice costing Rs.50 per kg mixed with 20kg of rice costing Rs.60 kg. What is the average cost of the mixture per kg ?

Options

A. Rs.54
B. Rs.56
C. Rs.52
D. Rs.55

Answer

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

### Step 1: Calculate the total cost of the first type of rice.
- We have 30 kg of rice costing Rs. 50 per kg.
- Total cost for the first type of rice = Weight × Cost per kg
- Total cost = 30 kg × 50 Rs/kg = 1500 Rs

### Step 2: Calculate the total cost of the second type of rice.
- We have 20 kg of rice costing Rs. 60 per kg.
- Total cost for the second type of rice = Weight × Cost per kg
- Total cost = 20 kg × 60 Rs/kg = 1200 Rs

### Step 3: Calculate the total cost of the mixture.
- Total cost of the mixture = Total cost of first type + Total cost of second type
- Total cost = 1500 Rs + 1200 Rs = 2700 Rs

### Step 4: Calculate the total weight of the mixture.
- Total weight = Weight of first type + Weight of second type
- Total weight = 30 kg + 20 kg = 50 kg

### Step 5: Calculate the average cost per kg of the mixture.
- Average cost per kg = Total cost of the mixture / Total weight
- Average cost = 2700 Rs / 50 kg = 54 Rs/kg

Thus, the average cost of the mixture per kg is **Rs. 54**.

---