If the number of cars sold of model D is 40500, then how many more cars of model E are sold than that of A?

Options

A. 8100
B. 16200
C. 24300
D. 13500

Answer

To solve the problem step by step, we will follow the given information and calculations based on the pie chart data.

### Step 1: Understand the Pie Chart Distribution
From the pie chart, we know the degrees representing the sales of different car models:
- Model A: 45 degrees
- Model D: 90 degrees
- Model E: 75 degrees (derived from the total of 360 degrees)
- Model C: 110 degrees

### Step 2: Find the Value of 1 Degree
We know that Model D has sold 40,500 cars, which corresponds to 90 degrees. To find out how many cars are sold per degree, we can use the following formula:

\[ \text{Cars per degree} = \frac{\text{Total cars sold for Model D}}{\text{Degrees for Model D}} = \frac{40,500}{90} \]

Calculating this gives:

\[ \text{Cars per degree} = 450 \]

### Step 3: Calculate the Number of Cars Sold for Model A
Model A corresponds to 45 degrees. To find out how many cars were sold for Model A, we can use the value of 1 degree:

\[ \text{Cars sold for Model A} = \text{Degrees for Model A} \times \text{Cars per degree} = 45 \times 450 \]

Calculating this gives:

\[ \text{Cars sold for Model A} = 20,250 \]

### Step 4: Calculate the Number of Cars Sold for Model E
Model E corresponds to 75 degrees. Using the same method:

\[ \text{Cars sold for Model E} = \text{Degrees for Model E} \times \text{Cars per degree} = 75 \times 450 \]

Calculating this gives:

\[ \text{Cars sold for Model E} = 33,750 \]

### Step 5: Find the Difference in Sales Between Model E and Model A
Now, we need to find how many more cars of Model E are sold than Model A:

\[ \text{Difference} = \text{Cars sold for Model E} - \text{Cars sold for Model A} = 33,750 - 20,250 \]

Calculating this gives:

\[ \text{Difference} = 13,500 \]

### Conclusion
Thus, the number of cars of Model E sold is 13,500 more than that of Model A.