Find the ratio between the total number of diesel cars sold by A and B together and the total number of EV cars sold by C and D together.

Read the following table carefully and answer the questions given below. The table shows the total number of cars (EV, Diesel and petrol) sold and the percentage of EV cars sold out of the total cars sold by four different companies. The table also shows the difference between the petrol and diesel cars sold by these four companies.

Note: Petrol cars sold are more than the diesel cars sold by each company .

Companies	Total number of cars sold	Percentage of EV cars sold	Difference between the petrol and the diesel cars sold
A	400	25%	70
B	550	10%	85
C	360	30%	52
D	280	15%	102

The correct option is 32:15.

To find the required ratio, we need to calculate the total number of diesel cars sold by companies A and B, and the total number of EV cars sold by companies C and D.

Step 1: Calculate the number of diesel cars sold by Company A
Total number of cars sold by A = 400
Percentage of EV cars sold by A = 25%
Number of EV cars sold by A = 25% of 400
$\Rightarrow \frac{25}{100}\times 400=100$
Remaining cars (Petrol + Diesel) sold by A = 400 - 100 = 300
We are given that the difference between Petrol and Diesel cars sold by A is 70, and Petrol cars sold are more than Diesel cars.
Let Petrol cars be P and Diesel cars be D.
$P+D=300$
$P-D=70$
Subtracting the second equation from the first:
$2D=300-70=230$
$D=115$
So, Company A sold 115 diesel cars.

Step 2: Calculate the number of diesel cars sold by Company B
Total number of cars sold by B = 550
Percentage of EV cars sold by B = 10%
Number of EV cars sold by B = 10% of 550
$\Rightarrow \frac{10}{100}\times 550=55$
Remaining cars (Petrol + Diesel) sold by B = 550 - 55 = 495
Given the difference between Petrol and Diesel cars sold by B is 85:
$P+D=495$
$P-D=85$
Subtracting the equations:
$2D=495-85=410$
$D=205$
So, Company B sold 205 diesel cars.

Step 3: Calculate the total number of diesel cars sold by A and B together
Total diesel cars = 115 + 205 = 320

Step 4: Calculate the total number of EV cars sold by C and D together
For Company C:
Total cars sold = 360
Percentage of EV cars = 30%
Number of EV cars = 30% of 360
$\Rightarrow \frac{30}{100}\times 360=108$

For Company D:
Total cars sold = 280
Percentage of EV cars = 15%
Number of EV cars = 15% of 280
$\Rightarrow \frac{15}{100}\times 280=42$

Total EV cars sold by C and D together = 108 + 42 = 150

Step 5: Find the required ratio
Ratio = Total diesel cars (A + B) : Total EV cars (C + D)
Ratio = 320 : 150
Simplifying the ratio by dividing both sides by 10:
Ratio = 32 : 15