10 kg of wheat priced at Rs. 8 is mixed with 15 kg of wheat priced at Rs. 10. What is the average price of whole mixture?

Options

A. Rs.9.5/kg
B. Rs.9.2/kg
C. Rs.7.5/kg
D. Rs.5.5/kg

Answer

To find the average price of the whole 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 (10 kg priced at Rs. 8 per kg):
\[ \text{Total cost} = \text{Weight} \times \text{Price per kg} = 10 \, \text{kg} \times 8 \, \text{Rs/kg} = 80 \, \text{Rs} \]

- For the second type of wheat (15 kg priced at Rs. 10 per kg):
\[ \text{Total cost} = \text{Weight} \times \text{Price per kg} = 15 \, \text{kg} \times 10 \, \text{Rs/kg} = 150 \, \text{Rs} \]

### Step 2: Calculate the total cost of the mixture.
- Add the total costs from both types of wheat:
\[ \text{Total cost of mixture} = 80 \, \text{Rs} + 150 \, \text{Rs} = 230 \, \text{Rs} \]

### Step 3: Calculate the total weight of the mixture.
- Add the weights of both types of wheat:
\[ \text{Total weight} = 10 \, \text{kg} + 15 \, \text{kg} = 25 \, \text{kg} \]

### Step 4: Calculate the average price of the mixture.
- The average price is calculated by dividing the total cost of the mixture by the total weight:
\[ \text{Average price} = \frac{\text{Total cost of mixture}}{\text{Total weight}} = \frac{230 \, \text{Rs}}{25 \, \text{kg}} = 9.2 \, \text{Rs/kg} \]

### Final Answer:
The average price of the whole mixture is **Rs. 9.2 per kg**.

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