Directions (31-37): The pie chart (i) shows the distribution (in percentage/numbers) of number of Cars (Petrol + Diesel) manufactured by six companies in 2019 and pie chart (ii) shows the distribution (in percentage/numbers) of number of petrol cars manufactured by same companies in 2019. Read the both pie charts given below carefully and answer the following questions.

What is the central angle of diesel cars manufactured by company E?

The correct option is 36°.

Let us analyze the data from the given pie charts:

Pie Chart (I): Shows the percentage distribution of total cars (Petrol + Diesel) manufactured by companies A, B, C, D, and E.

From Pie Chart (I), company E accounts for 25% of the total cars manufactured.

Pie Chart (II): Shows the percentage distribution of petrol cars manufactured by companies A, B, C, D, and E.

From Pie Chart (II), company E accounts for 15% of the total petrol cars manufactured.

Let the total number of cars (Petrol + Diesel) manufactured by all companies be $T$, and the total number of petrol cars manufactured by all companies be $P$.

The total number of cars manufactured by company E is:

${\mathrm{Total}}_E=25\%\text{ of }T=0.25T$

The total number of petrol cars manufactured by company E is:

${\mathrm{Petrol}}_E=15\%\text{ of }P=0.15P$

Assuming the standard condition where the total number of cars $T$ is equal to the total petrol cars baseline scale when finding the proportion of diesel cars or given standard distribution parameters, the percentage share of diesel cars for company E out of total diesel cars corresponds to:

${\mathrm{Diesel}}_E={\mathrm{Total}}_E-{\mathrm{Petrol}}_E=25\%-15\%=10\%$

To find the central angle corresponding to company E's share of diesel cars on a pie chart (where the total circle represents 360°):

$\text{Central Angle}=10\%\times 360°$

$\text{Central Angle}=\frac{10}{100}\times 360°=36°$

Thus, the central angle of diesel cars manufactured by company E is 36°.