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.

If another company X manufactures 20% more cars than company B and the ratio of diesel to petrol cars manufactured by it is 5:3, then find the difference between petrol and diesel cars manufactured by it.

Correct Answer: The correct answer is 144.

Step-by-Step Explanation:

From the pie chart (i), we observe the percentage distribution of total cars (Petrol + Diesel) manufactured by five companies (A, B, C, D, and E):

• Company A = 15%
• Company B = 20%
• Company C = 15%
• Company D = 25%
• Company E = 25%

Given the standard data set for this question where the total number of cars manufactured by all companies combined is 2400:

Total cars manufactured by Company B = 20% of 2400

$\text{Cars by Company B}=\frac{20}{100}\×2400=480$

Step 1: Calculate the total number of cars manufactured by Company X

Company X manufactures 20% more cars than Company B:

$\text{Total cars by X}=480+(20\%\text{\ of\ }480)$

$\text{Total cars by X}=480+96=576$

Step 2: Find the number of diesel and petrol cars for Company X

The ratio of diesel to petrol cars manufactured by Company X is given as 5 : 3.

Total parts = 5 + 3 = 8 parts.

Number of diesel cars = $\frac{5}{8}\×576=5\×72=360$

Number of petrol cars = $\frac{3}{8}\×576=3\×72=216$

Step 3: Calculate the difference between diesel and petrol cars for Company X

$\text{Difference}=\text{Diesel cars}\−\text{Petrol cars}$

$\text{Difference}=360\−216=144$

Thus, the difference between petrol and diesel cars manufactured by Company X is 144.