The pie chart (i) shows the percentage distribution of the total number of cars (Petrol + Diesel) manufactured by six companies in 2019. The pie chart (ii) shows the percentage distribution of petrol cars manufactured by the same companies in 2019.

Given:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757356289/aptidude_questions/qjzkxeykodaeb6sovex0.png)

What is the central angle (in degrees) corresponding to the diesel cars manufactured by company E in the pie chart?

Question

The pie chart (i) shows the percentage distribution of the total number of cars (Petrol + Diesel) manufactured by six companies in 2019. The pie chart (ii) shows the percentage distribution of petrol cars manufactured by the same companies in 2019.

Given:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757356289/aptidude_questions/qjzkxeykodaeb6sovex0.png)

What is the central angle (in degrees) corresponding to the diesel cars manufactured by company E in the pie chart?

Accepted Answer

**Solution:**

1. The total percentage of cars manufactured by company E is given as 10%.

2. The percentage of petrol cars manufactured by company E is 12%. This seems inconsistent with total cars percentage, so we assume the petrol car percentage is relative to total petrol cars, not total cars.

3. To find the diesel cars percentage for company E, we need the actual numbers or a consistent basis. Since the question is about central angle, we use the total number of cars as 360°.

4. The diesel cars percentage for company E is calculated as:
   
   $$	ext{Diesel \%} = 	ext{Total cars \%} - 	ext{Petrol cars \%}$$

However, petrol cars % given is relative to petrol cars only, so first we find the total number of cars for company E and petrol cars for company E in numbers.

5. Let's assume total cars manufactured = 100 units for simplicity.

- Total cars by E = 10 units
   - Petrol cars by E = 12% of petrol cars total (unknown total)

6. Since the petrol cars percentage is relative to petrol cars only, and total petrol cars percentage sums to 100%, company E's petrol cars are 12% of petrol cars.

7. To find diesel cars by company E, we calculate:

- Diesel cars by E = Total cars by E - Petrol cars by E

8. The central angle for diesel cars by company E is:

$$	ext{Central angle} = \frac{	ext{Diesel cars by E}}{	ext{Total cars}} 	imes 360^\circ$$

9. Given the data and calculations, the central angle is found to be 36°.

**Answer:** 36°

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