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).

If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?

The correct option is 220.

Let us step through the detailed logical derivation to find the number of non-AC electric cars in State 4.

Step 1: Find the total number of cars in State 4.

The total number of cars surveyed across all states is 8000.

State 4 accounts for 35% of the total cars.

$\text{Total cars in State 4}=8000\times \frac{35}{100}=2800$

Step 2: Find the number of electric cars in State 4.

In State 4, the ratio of diesel, petrol, and electric cars is given as 7 : 5 : 2.

The total ratio parts = 7 + 5 + 2 = 14 parts.

The share of electric cars corresponds to 2 parts out of 14.

$\text{Number of electric cars in State 4}=2800\times \frac{2}{14}=2800\times \frac{1}{7}=400$

Step 3: Calculate the number of non-AC electric cars in State 4.

We are given that 45% of the electric cars in State 4 are air-conditioned (AC).

Therefore, the remaining percentage of non-AC electric cars is:

$100\%-45\%=55\%$

Now, we compute 55% of the 400 electric cars:

$\text{Number of non-AC electric cars}=400\times \frac{55}{100}=4\times 55=220$

Thus, the number of non-AC electric cars in State 4 is 220.