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).

Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?

The correct option is 6.67%.

Step 1: Find the total number of cars

Total number of cars across all states = 8000.

Step 2: Calculate the number of diesel cars in State 1

State 1 accounts for 15% of the total cars:

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

The ratio of diesel, petrol, and electric cars in State 1 is given as 3 : 4 : 1.

$\text{Total parts}=3+4+1=8$

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

Step 3: Calculate the number of petrol cars in State 2

State 2 accounts for 20% of the total cars:

$\text{Total cars in State 2}=\frac{20}{100}\times 8000=1600$

The ratio of diesel, petrol, and electric cars in State 2 is given as 5 : 3 : 2.

$\text{Total parts}=5+3+2=10$

$\text{Number of petrol cars in State 2}=\frac{3}{10}\times 1600=480$

Step 4: Calculate the required percentage increase

Now, calculate how much percentage the number of petrol cars in State 2 is more than the number of diesel cars in State 1:

$\text{Difference}=480-450=30$

$\text{Percentage More}=\frac{30}{450}\times 100$

$\text{Percentage More}=\frac{1}{15}\times 100=6.67\%$

Thus, the number of petrol cars in State 2 is 6.67% more than the number of diesel cars in State 1.