5 kg of superior quality of sugar is mixed with 25 kg of inferior quality sugar. The price of superior quality and inferior quality sugar is Rs 35 and Rs 23 respectively. Find the average price per kg of the mixture.

Options

A. 25
B. 26
C. 27
D. 28

Answer

To find the average price per kg of the mixture of sugar, we can follow these steps:

### Step 1: Calculate the total cost of superior quality sugar.
- The weight of superior quality sugar = 5 kg
- The price per kg of superior quality sugar = Rs 35

Total cost of superior quality sugar = Weight × Price per kg
\[ \text{Total cost of superior quality sugar} = 5 \, \text{kg} \times 35 \, \text{Rs/kg} = 175 \, \text{Rs} \]

### Step 2: Calculate the total cost of inferior quality sugar.
- The weight of inferior quality sugar = 25 kg
- The price per kg of inferior quality sugar = Rs 23

Total cost of inferior quality sugar = Weight × Price per kg
\[ \text{Total cost of inferior quality sugar} = 25 \, \text{kg} \times 23 \, \text{Rs/kg} = 575 \, \text{Rs} \]

### Step 3: Calculate the total cost of the mixture.
Total cost of the mixture = Total cost of superior quality sugar + Total cost of inferior quality sugar
\[ \text{Total cost of the mixture} = 175 \, \text{Rs} + 575 \, \text{Rs} = 750 \, \text{Rs} \]

### Step 4: Calculate the total weight of the mixture.
Total weight of the mixture = Weight of superior quality sugar + Weight of inferior quality sugar
\[ \text{Total weight of the mixture} = 5 \, \text{kg} + 25 \, \text{kg} = 30 \, \text{kg} \]

### Step 5: Calculate the average price per kg of the mixture.
Average price per kg = Total cost of the mixture / Total weight of the mixture
\[ \text{Average price per kg} = \frac{750 \, \text{Rs}}{30 \, \text{kg}} = 25 \, \text{Rs/kg} \]

### Final Answer:
The average price per kg of the mixture is Rs 25.

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