16 liters of kerosene is mixed with 5 litre of petrol. The price of kerosene is rs 12 per litre and the price of petrol is rs 33 per litre. The average price of the mixture per litre is :

Options

A. 15
B. 17
C. 23
D. 27

Answer

To find the average price of the mixture of kerosene and petrol, we can follow these steps:

### Step 1: Calculate the total cost of kerosene
The price of kerosene is Rs 12 per liter, and we have 16 liters of kerosene.

\[ \text{Total cost of kerosene} = \text{Price per liter} \times \text{Quantity} \]
\[ \text{Total cost of kerosene} = 12 \, \text{Rs/liter} \times 16 \, \text{liters} = 192 \, \text{Rs} \]

### Step 2: Calculate the total cost of petrol
The price of petrol is Rs 33 per liter, and we have 5 liters of petrol.

\[ \text{Total cost of petrol} = \text{Price per liter} \times \text{Quantity} \]
\[ \text{Total cost of petrol} = 33 \, \text{Rs/liter} \times 5 \, \text{liters} = 165 \, \text{Rs} \]

### Step 3: Calculate the total cost of the mixture
Now, we add the total costs of kerosene and petrol to find the total cost of the mixture.

\[ \text{Total cost of mixture} = \text{Total cost of kerosene} + \text{Total cost of petrol} \]
\[ \text{Total cost of mixture} = 192 \, \text{Rs} + 165 \, \text{Rs} = 357 \, \text{Rs} \]

### Step 4: Calculate the total volume of the mixture
The total volume of the mixture is the sum of the volumes of kerosene and petrol.

\[ \text{Total volume of mixture} = \text{Volume of kerosene} + \text{Volume of petrol} \]
\[ \text{Total volume of mixture} = 16 \, \text{liters} + 5 \, \text{liters} = 21 \, \text{liters} \]

### Step 5: Calculate the average price per liter of the mixture
Finally, we can find the average price per liter by dividing the total cost of the mixture by the total volume of the mixture.

\[ \text{Average price per liter} = \frac{\text{Total cost of mixture}}{\text{Total volume of mixture}} \]
\[ \text{Average price per liter} = \frac{357 \, \text{Rs}}{21 \, \text{liters}} = 17 \, \text{Rs/liter} \]

Thus, the average price of the mixture per liter is **Rs 17**.

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