If the monthly expenditure pattern of a person who earns a monthyl salary of Rs 15000 is represented in a pie diagram, then the sector angle of an item on transport expenses meassures `15^(@)`. What is his monthely expenditure on transport?

Options

A. Rs 450
B. Rs 625
C. Rs 675
D. cannot be computed from the given data

Explanation

To find the monthly expenditure on transport expenses, we can follow these steps:

### Step 1: Understand the total salary and the pie chart representation
The total monthly salary of the person is Rs 15,000. In a pie chart, the entire circle represents the total expenditure, which corresponds to 360 degrees.

### Step 2: Determine the angle for transport expenses
The sector angle for transport expenses is given as 15 degrees.

### Step 3: Calculate the expenditure per degree
To find out how much each degree of the pie chart represents in terms of money, we can use the formula:

\[ \text{Expenditure per degree} = \frac{\text{Total Expenditure}}{\text{Total Degrees}} = \frac{15000}{360} \]

### Step 4: Perform the calculation
Now, we can calculate the expenditure per degree:

\[ \text{Expenditure per degree} = \frac{15000}{360} = 41.67 \text{ (approximately)} \]

### Step 5: Calculate the expenditure on transport
Now that we know how much each degree represents, we can find the expenditure on transport by multiplying the expenditure per degree by the sector angle for transport:

\[ \text{Expenditure on Transport} = \text{Expenditure per degree} \times \text{Sector Angle} = 41.67 \times 15 \]

### Step 6: Perform the final calculation
Calculating the above expression gives:

\[ \text{Expenditure on Transport} = 41.67 \times 15 = 625 \text{ (approximately)} \]

### Conclusion
Thus, the monthly expenditure on transport is Rs 625.

---