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%
What was the difference in the production of number of Type-C cars between 2019 and 2020?
This problem requires us to analyze the provided table showing the percentage distribution of different types of cars produced by a company over two years and calculate the specific difference in the production quantity for Type-C cars.
We are given the total number of cars produced in two consecutive years, 2019 and 2020, and the percentage breakup of five different car types (A, B, C, D, E) for each year. To find the difference in the production of Type-C cars, we first need to calculate the actual number of Type-C cars produced in each year.
Here is the distribution data:
| Year | Total Production | Type of Car Produced (in %) | ||||
|---|---|---|---|---|---|---|
| A | B | C | D | E | ||
| 2019 | 4,50,000 | 15% | 25% | 30% | 10% | 20% |
| 2020 | 5,20,000 | |||||
| 10% | 30% | 25% | 25% | 10% |
In 2019, the total production was 4,50,000 cars. The percentage of Type-C cars produced was 30%.
Number of Type-C cars produced in 2019 = Percentage of Type-C cars in 2019 × Total production in 2019
Number of Type-C cars in 2019 = $\frac{30}{100} \times 4,50,000$
Number of Type-C cars in 2019 = $0.30 \times 4,50,000 = 1,35,000$
So, 1,35,000 Type-C cars were produced in 2019.
In 2020, the total production was 5,20,000 cars. The percentage of Type-C cars produced was 25%.
Number of Type-C cars produced in 2020 = Percentage of Type-C cars in 2020 × Total production in 2020
Number of Type-C cars in 2020 = $\frac{25}{100} \times 5,20,000$
Number of Type-C cars in 2020 = $0.25 \times 5,20,000 = 1,30,000$
So, 1,30,000 Type-C cars were produced in 2020.
To find the difference, we subtract the smaller number of cars from the larger number.
Difference = Number of Type-C cars in 2019 - Number of Type-C cars in 2020
Difference = $1,35,000 - 1,30,000 = 5,000$
The difference in the production of Type-C cars between 2019 and 2020 was 5,000.
The difference in the production quantity of Type-C cars between the years 2019 and 2020 is 5,000.
| Year | Total Production | Type-C Percentage | Calculated Type-C Production |
|---|---|---|---|
| 2019 | 4,50,000 | 30% | 1,35,000 |
| 2020 | 5,20,000 | 25% | 1,30,000 |
| Difference | 5,000 |
Data interpretation questions often involve extracting relevant information from tables, charts, or graphs and performing calculations based on percentages, ratios, averages, or differences. Key steps usually include:
In this problem, converting the percentages into actual numbers for each year was the crucial first step before calculating the difference.
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 |
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 |
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 |
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?