Three types of rice whose rates are `₹38`,`₹43` and `₹49` per kg are blended together to make a 15 kg of new blend of rice in which there are 8 kgs,4kgs and 3 kgs of the rerspective types of rice .tHe average price of new blend of rice is:

Options

A. `₹41.53`
B. `₹43`
C. `₹40`
D. `₹43.3`

Answer

To find the average price of the new blend of rice, we will follow these steps:

### Step 1: Calculate the total cost of each type of rice.
- For Rice A (₹38 per kg), we have 8 kg:
\[ \text{Cost of Rice A} = 8 \, \text{kg} \times 38 \, \text{₹/kg} = 304 \, \text{₹} \]

- For Rice B (₹43 per kg), we have 4 kg:
\[ \text{Cost of Rice B} = 4 \, \text{kg} \times 43 \, \text{₹/kg} = 172 \, \text{₹} \]

- For Rice C (₹49 per kg), we have 3 kg:
\[ \text{Cost of Rice C} = 3 \, \text{kg} \times 49 \, \text{₹/kg} = 147 \, \text{₹} \]

### Step 2: Calculate the total cost of the blend.
Now, we will add the costs of all three types of rice:
\[ \text{Total Cost} = \text{Cost of Rice A} + \text{Cost of Rice B} + \text{Cost of Rice C} \]
\[ \text{Total Cost} = 304 \, \text{₹} + 172 \, \text{₹} + 147 \, \text{₹} = 623 \, \text{₹} \]

### Step 3: Calculate the total weight of the blend.
The total weight of the blend is given as:
\[ \text{Total Weight} = 8 \, \text{kg} + 4 \, \text{kg} + 3 \, \text{kg} = 15 \, \text{kg} \]

### Step 4: Calculate the average price of the blend.
The average price is calculated by dividing the total cost by the total weight:
\[ \text{Average Price} = \frac{\text{Total Cost}}{\text{Total Weight}} = \frac{623 \, \text{₹}}{15 \, \text{kg}} \approx 41.53 \, \text{₹/kg} \]

Thus, the average price of the new blend of rice is approximately **₹41.53 per kg**.

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