If the monthly expenditure pattern of a person who earns a monthly salary of Rs. 15,000 is represented in a pie graph, then the sector angle of an item on transport expenses measures `15^(@)`. What is his monthly expenditure on transport ?

Options

A. Rs. 450
B. Rs. 625
C. Rs. 675
D. Cannot be computed from the iven data.

Answer

To find the monthly expenditure on transport based on the given information, we can follow these steps:

### Step 1: Understand the relationship between the sector angle and total angle
The total angle in a pie chart is 360 degrees. The angle representing transport expenses is given as 15 degrees.

### Step 2: Set up the proportion
We can set up a proportion to find the expenditure on transport. The formula to calculate the expenditure based on the angle is:

\[ \text{Expenditure on Transport} = \left( \frac{\text{Sector Angle}}{\text{Total Angle}} \right) \times \text{Total Expenditure} \]

### Step 3: Substitute the values into the formula
Here, the sector angle for transport expenses is 15 degrees, the total angle is 360 degrees, and the total monthly salary (or expenditure) is Rs. 15,000.

Substituting these values into the formula gives:

\[ \text{Expenditure on Transport} = \left( \frac{15}{360} \right) \times 15000 \]

### Step 4: Simplify the fraction
Now, simplify the fraction:

\[ \frac{15}{360} = \frac{1}{24} \]

### Step 5: Calculate the expenditure
Now, we can calculate the expenditure on transport:

\[ \text{Expenditure on Transport} = \frac{1}{24} \times 15000 \]

Calculating this gives:

\[ \text{Expenditure on Transport} = 625 \]

### Final Answer
The monthly expenditure on transport is Rs. 625.

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