The following table shows the percentage (%) distribution of five different types of Cars (A-E) produced by a Company during two consecutive years 2019 and 2020. The total number of Cars produced was 4,50,000 in the year 2019 and 5,20,000 in the year 2020. Based on the data in the table, answer the question: Year-wise Percentage Distribution of Production of Cars Year Type of Car Produced (in %) A B C D E 2019 15% 25% 30% 10% 20% 2020 10% 30% 25% 25% 10%
If the number of Type-A cars manufactured in 2020 was the same as that of 2019, then what would have been its approximate percentage share in the total production of 2020?
Understanding the Car Production Data
The question provides a table showing the percentage distribution of the production of five different types of cars (A, B, C, D, and E) over two years, 2019 and 2020. We are given the total number of cars produced in each year:
- Total production in 2019: 4,50,000 cars
- Total production in 2020: 5,20,000 cars
The table shows the breakdown:
| Year | Type of Car Produced (in %) | ||||
|---|---|---|---|---|---|
| A | B | C | D | E | |
| 2019 | 15% | 25% | 30% | 10% | 20% |
| 2020 | 10% | 30% | 25% | 25% | 10% |
The question asks us to consider a hypothetical scenario: if the number of Type-A cars produced in 2020 was equal to the number of Type-A cars produced in 2019, what would be the *approximate* percentage share of Type-A cars in the *total production of 2020*?
Step-by-Step Calculation
Step 1: Calculate the number of Type-A cars produced in 2019
In 2019, the total production was 4,50,000 cars, and Type-A cars constituted 15% of this total.
Number of Type-A cars in 2019 = 15% of 4,50,000
\[ \text{Number of Type-A cars in 2019} = \frac{15}{100} \times 4,50,000 = 0.15 \times 4,50,000 \] \[ = 67,500 \]So, 67,500 Type-A cars were produced in 2019.
Step 2: Assume the number of Type-A cars in 2020 is the same as in 2019
According to the question's condition, we assume that the number of Type-A cars manufactured in 2020 was also 67,500.
Assumed number of Type-A cars in 2020 = 67,500
Step 3: Identify the total production in 2020
The total number of cars produced in 2020 is given as 5,20,000.
Total production in 2020 = 5,20,000
Step 4: Calculate the approximate percentage share of Type-A cars in the total production of 2020 under the given condition
To find the percentage share, we divide the assumed number of Type-A cars in 2020 by the total production in 2020 and multiply by 100.
\[ \text{Percentage share} = \frac{\text{Assumed number of Type-A cars in 2020}}{\text{Total production in 2020}} \times 100\% \] \[ \text{Percentage share} = \frac{67,500}{5,20,000} \times 100\% \] \[ = \frac{67,500 \times 100}{5,20,000}\% \] \[ = \frac{6,750,000}{520,000}\% \] \[ = \frac{675}{52}\% \]Now, we calculate the approximate value:
\[ \frac{675}{52} \approx 12.98\% \]The approximate percentage share of Type-A cars in the total production of 2020, under the given condition, would be approximately 12.98%.
Step 5: Compare with the options
The calculated value of approximately 12.98% is closest to 13% among the given options.
Conclusion
If the number of Type-A cars manufactured in 2020 was the same as that of 2019 (67,500), its approximate percentage share in the total production of 2020 (5,20,000) would be approximately 13%.
Revision Table: Key Data Points
| Metric | Value |
|---|---|
| Total Production 2019 | 4,50,000 |
| % of Type-A in 2019 | 15% |
| Number of Type-A in 2019 | 67,500 |
| Total Production 2020 | 5,20,000 |
| Assumed Number of Type-A in 2020 | 67,500 (Same as 2019) |
| Approximate % Share of Type-A in Total 2020 Production (Hypothetical) | 13% |
Additional Information: Data Interpretation Basics
Data interpretation questions often require calculating specific values based on given percentages and totals, and sometimes comparing values across different categories or time periods. Key skills include:
- Understanding how to calculate a percentage of a total.
- Understanding how to calculate one number as a percentage of another.
- Carefully reading the question to identify exactly what is being asked (e.g., number vs. percentage, specific year, hypothetical conditions).
- Using the provided data accurately from tables or charts.
- Approximation skills when required.
In this problem, the crucial step was to first find the actual count for Type-A cars in 2019 using the 2019 total and percentage, and then use that count with the 2020 total to find the hypothetical percentage for 2020.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
