Let's break down the problem step-by-step to find the solution. We need to calculate two values from the provided table data: the total number of cars in State 'C' and the number of petrol engine cars in State 'B'. Then, we will find the difference between these two values.

Analyzing the State-wise Car Distribution Data

The table provides the percentage distribution of the total number of cars across four different states (A, B, C, and D) and the ratio of diesel to petrol engine cars within each state.

The total number of cars in all four states combined is given as 1400.

Calculate Total Cars in State C

The total number of cars is 1400. State C accounts for 32% of the total cars.

Total cars in State C = Percentage of cars in C × Total cars

Using the values:

\( \text{Total cars in C} = 32\% \text{ of } 1400 \)

\( \text{Total cars in C} = \frac{32}{100} \times 1400 \)

\( \text{Total cars in C} = 32 \times 14 \)

\( \text{Total cars in C} = 448 \)

So, there are 448 cars in State C.

Calculate Petrol Engine Cars in State B

First, we need to find the total number of cars in State B. State B accounts for 28% of the total cars (1400).

Total cars in State B = Percentage of cars in B × Total cars

Using the values:

\( \text{Total cars in B} = 28\% \text{ of } 1400 \)

\( \text{Total cars in B} = \frac{28}{100} \times 1400 \)

\( \text{Total cars in B} = 28 \times 14 \)

\( \text{Total cars in B} = 392 \)

So, there are 392 cars in State B.

Now, we look at the ratio of Diesel Engine Cars : Petrol Engine Cars in State B, which is 5 : 9.

The ratio means for every 5 diesel cars, there are 9 petrol cars. The total parts in the ratio are \( 5 + 9 = 14 \).

To find the number of petrol engine cars in State B, we use the ratio of petrol parts to the total parts and multiply by the total cars in State B.

Number of petrol engine cars in State B = \( \frac{\text{Petrol parts}}{\text{Total parts}} \times \text{Total cars in B} \)

Using the values:

\( \text{Petrol cars in B} = \frac{9}{14} \times 392 \)

\( \text{Petrol cars in B} = 9 \times \frac{392}{14} \)

\( \text{Petrol cars in B} = 9 \times 28 \)

\( \text{Petrol cars in B} = 252 \)

So, there are 252 petrol engine cars in State B.

Calculate the Difference

The question asks for the difference between the total number of cars in State 'C' and the number of petrol engine cars in State 'B'.

Difference = Total cars in State C - Number of petrol engine cars in State B

Using the calculated values:

\( \text{Difference} = 448 - 252 \)

\( \text{Difference} = 196 \)

The difference is 196.

Final Answer Summary

Total cars in State C = 448

Petrol engine cars in State B = 252

Difference = 448 - 252 = 196

The final answer is 196.

Revision Table

Additional Information on Data Interpretation

Data interpretation questions often involve extracting information from tables, charts, or graphs and performing calculations based on percentages, ratios, averages, or differences. It's important to carefully read the question and the data provided.

• Percentages: A percentage is a fraction out of 100. To find a percentage of a total, convert the percentage to a decimal or fraction and multiply by the total. For example, 32% of 1400 is \( \frac{32}{100} \times 1400 \).
• Ratios: A ratio expresses the relationship between two or more quantities. If a ratio is given as \(a : b\), the total number of parts is \(a+b\). To find the value of one part, divide the total amount by the total number of parts. Then multiply the value per part by the number of parts for the quantity you are interested in. For example, a ratio of 5:9 for Diesel:Petrol means there are 14 parts in total. If the total number of cars is 392, each part is \( \frac{392}{14} = 28 \). The number of petrol cars is \( 9 \times 28 = 252 \).
• Difference: The difference between two numbers is found by subtracting the smaller number from the larger number. In this case, we subtracted the number of petrol cars in State B from the total cars in State C.