A boy buys 5 pencils at Rs 3 each, 3 erasers at Rs 2 each and 3 sharpeners at Rs 5 each. What is the average expenditure (in Rs) per article?

Options

A. 3.27
B. 3.5
C. 4
D. 5

Answer

To find the average expenditure per article, we will follow these steps:

### Step 1: Calculate the total cost of each type of article.
- **Pencils**: The boy buys 5 pencils at Rs 3 each.
\[ \text{Total cost of pencils} = 5 \times 3 = 15 \text{ Rs} \]

- **Erasers**: The boy buys 3 erasers at Rs 2 each.
\[ \text{Total cost of erasers} = 3 \times 2 = 6 \text{ Rs} \]

- **Sharpeners**: The boy buys 3 sharpeners at Rs 5 each.
\[ \text{Total cost of sharpeners} = 3 \times 5 = 15 \text{ Rs} \]

### Step 2: Calculate the total expenditure.
Now, we sum the total costs of all articles:
\[ \text{Total expenditure} = \text{Total cost of pencils} + \text{Total cost of erasers} + \text{Total cost of sharpeners} \]
\[ \text{Total expenditure} = 15 + 6 + 15 = 36 \text{ Rs} \]

### Step 3: Calculate the total number of articles.
Now, we find the total number of articles purchased:
\[ \text{Total number of articles} = 5 \text{ (pencils)} + 3 \text{ (erasers)} + 3 \text{ (sharpeners)} = 11 \]

### Step 4: Calculate the average expenditure per article.
Finally, we calculate the average expenditure per article using the formula:
\[ \text{Average expenditure per article} = \frac{\text{Total expenditure}}{\text{Total number of articles}} \]
\[ \text{Average expenditure per article} = \frac{36}{11} \approx 3.27 \text{ Rs} \]

### Final Answer:
The average expenditure per article is approximately **Rs 3.27**.

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