Understanding Car Production and Sales Data

This question requires us to analyze the provided table showing the percentage distribution of different types of cars produced by a company over two years, 2019 and 2020. We are given the total production for each year and the percentage of Type-E cars sold across both years combined. We need to find the number of Type-E cars that remained unsold.

Analyzing the Given Data

Let's first look at the total production and the percentage distribution for Type-E cars:

• Total cars produced in 2019: 4,50,000
• Total cars produced in 2020: 5,20,000
• Percentage of Type-E cars produced in 2019: 20%
• Percentage of Type-E cars produced in 2020: 10%
• Percentage of Type-E cars sold (2019 & 2020 combined): 85%

The table provided is as follows:

Calculating Type-E Car Production

First, we need to calculate the actual number of Type-E cars produced in each year.

Type-E Production in 2019

The number of Type-E cars produced in 2019 is 20% of the total production in 2019.

Total production in 2019 = 4,50,000

Type-E production in 2019 $= 20\% \text{ of } 4,50,000$

$= \frac{20}{100} \times 4,50,000$

$= 0.20 \times 4,50,000$

$= 90,000$

So, 90,000 Type-E cars were produced in 2019.

Type-E Production in 2020

The number of Type-E cars produced in 2020 is 10% of the total production in 2020.

Total production in 2020 = 5,20,000

Type-E production in 2020 $= 10\% \text{ of } 5,20,000$

$= \frac{10}{100} \times 5,20,000$

$= 0.10 \times 5,20,000$

$= 52,000$

So, 52,000 Type-E cars were produced in 2020.

Total Type-E Production (2019 & 2020)

Total Type-E cars produced over the two years is the sum of production in 2019 and 2020.

Total Type-E production $= \text{Type-E production in } 2019 + \text{Type-E production in } 2020$

$= 90,000 + 52,000$

$= 1,42,000$

A total of 1,42,000 Type-E cars were produced during 2019 and 2020 together.

Calculating Unsold Type-E Cars

We are told that 85% of the total Type-E cars produced over the two years were sold. This means the remaining percentage was unsold.

Percentage of Type-E cars unsold $= 100\% - \text{Percentage sold}$

$= 100\% - 85\%$

$= 15\%$

Now, we calculate 15% of the total Type-E cars produced to find the number of unsold cars.

Total Type-E production $= 1,42,000$

Number of unsold Type-E cars $= 15\% \text{ of } 1,42,000$

$= \frac{15}{100} \times 1,42,000$

$= 0.15 \times 1,42,000$

$= 21,300$

Therefore, 21,300 Type-E cars are left unsold by the company.

Summary of Calculation Steps

1. Calculate the number of Type-E cars produced in 2019.
2. Calculate the number of Type-E cars produced in 2020.
3. Calculate the total number of Type-E cars produced in 2019 and 2020 combined.
4. Determine the percentage of Type-E cars that are unsold (100% - percentage sold).
5. Calculate the number of unsold Type-E cars based on the total production and the unsold percentage.

The final answer is 21,300.

Revision Table: Key Data and Calculations

Additional Information: Data Interpretation Tips

Data interpretation questions often involve analyzing tables, charts, or graphs to answer specific questions. Here are some tips:

• Read Carefully: Understand exactly what the question is asking and what data is provided.
• Identify Key Information: Locate the specific numbers, percentages, or categories relevant to the question.
• Pay Attention to Units: Ensure you are working with consistent units (e.g., actual numbers vs. percentages).
• Break Down the Problem: For multi-step problems, solve one part at a time (e.g., calculate production for each year separately before summing).
• Calculate Percentages Correctly: Remember that percentage means 'out of 100'. To find a percentage of a number, divide the percentage by 100 and multiply by the number.
• Calculate Unsold/Remaining Quantity: If a percentage is sold, the unsold percentage is 100% minus the sold percentage.
• Double-Check Calculations: Simple arithmetic errors are common. Review your steps and calculations.

Practicing with various types of data representations will help improve your data interpretation skills for exams.