Automobiles are the most preferred mode of transport because they allow us to cover large distance quickly. Resultantly, vehicles have been developed that run on diesel, petrol and even on electricity, which is a remarkable innovative development. During a survey about the percentage wise distribution of cars in four different states, the information regarding ratio between the diesel engine cars, petrol engine cars and electric cars was collected. Total number of cars for which data was collected was 8000. Of these, State 1 had 15% of the total cars in the ratio of 3:4:1 (diesel, petrol and electric); State 2 had 20% of the total cars in the ratio of 5:3:2 (diesel, petrol and electric); State 3 had 30% of the total cars in the ratio of 4:5:3 (diesel, petrol and electric), and; State 4 had 35% of the total cars in the ratio of 7:5:2 (diesel, petrol and electric).

What is the difference between number of petrol cars in State 3 and diesel cars in State 1?

The correct option is 550.

Step-by-step Explanation:

We are given that the total number of cars across all four states is 8000.

1. Calculate the number of Petrol cars in State 3:

- State 3 has 30% of the total number of cars.

$\text{Total cars in State 3}=30\%\text{of}8000=\frac{30}{100}\times 8000=2400$

- The ratio of (diesel : petrol : electric) cars in State 3 is 4 : 5 : 3.

- Total parts in the ratio = 4 + 5 + 3 = 12 parts.

- The share of petrol cars is 5 parts out of 12.

$\text{Number of petrol cars in State 3}=\frac{5}{12}\times 2400=5\times 200=1000$

2. Calculate the number of Diesel cars in State 1:

- State 1 has 15% of the total number of cars.

$\text{Total cars in State 1}=15\%\text{of}8000=\frac{15}{100}\times 8000=1200$

- The ratio of (diesel : petrol : electric) cars in State 1 is 3 : 4 : 1.

- Total parts in the ratio = 3 + 4 + 1 = 8 parts.

- The share of diesel cars is 3 parts out of 8.

$\text{Number of diesel cars in State 1}=\frac{3}{8}\times 1200=3\times 150=450$

3. Calculate the difference:

$\text{Difference}=\text{Petrol cars in State 3}-\text{Diesel cars in State 1}$

$\text{Difference}=1000-450=550$

Thus, the required difference is 550.