The following table shows the percentage (%) distribution of six different types of items A-F produced by a company in the years 2020 and 2021. Total number of items produced by the company in the year 2020 and 2021 are 48600 and 62500, respectively. Based on the data in table, answer the questions that follow : Item-wise Distribution of Production Item Type Distribution (%) of Items Produced 2020 2021 A 17% 18% B 18% 15% C 17% 8% D 20% 17% E 16% 18% F 12% 24%
The number of items of type B produced in 2020 is approximately ______% of the number of items of type B produced in 2021.
93
This question asks us to analyze data from a table showing the percentage distribution of item production over two years, 2020 and 2021, for a company. We are given the total number of items produced in each year and the percentage breakdown for six different item types (A to F).
To answer the question, we need to follow these steps:
- Calculate the number of items of type B produced in 2020.
- Calculate the number of items of type B produced in 2021.
- Calculate the number of items of type B produced in 2020 as a percentage of the number of items of type B produced in 2021.
Let's look at the provided data table:
| Item Type | Distribution (%) of Items Produced (2020) | Distribution (%) of Items Produced (2021) |
|---|---|---|
| A | 17% | 18% |
| B | 18% | 15% |
| C | 17% | 8% |
| D | 20% | 17% |
| E | 16% | 18% |
| F | 12% | 24% |
Total number of items produced in 2020 = 48600
Total number of items produced in 2021 = 62500
Calculating Item B Production in 2020 and 2021
From the table, the percentage distribution for item type B is 18% in 2020 and 15% in 2021.
Number of items of type B produced in 2020:
\(\text{Number of B items in 2020} = \text{Percentage of B in 2020} \times \text{Total Production in 2020}\)
\(\text{Number of B items in 2020} = 18\% \times 48600\)
\(\text{Number of B items in 2020} = \frac{18}{100} \times 48600\)
\(\text{Number of B items in 2020} = 0.18 \times 48600\)
\(\text{Number of B items in 2020} = 8748\)
Number of items of type B produced in 2021:
\(\text{Number of B items in 2021} = \text{Percentage of B in 2021} \times \text{Total Production in 2021}\)
\(\text{Number of B items in 2021} = 15\% \times 62500\)
\(\text{Number of B items in 2021} = \frac{15}{100} \times 62500\)
\(\text{Number of B items in 2021} = 0.15 \times 62500\)
\(\text{Number of B items in 2021} = 9375\)
Calculating Percentage Comparison
Now, we need to find what percentage the number of items of type B produced in 2020 is of the number of items of type B produced in 2021.
\(\text{Required Percentage} = \left( \frac{\text{Number of B items in 2020}}{\text{Number of B items in 2021}} \right) \times 100\)
\(\text{Required Percentage} = \left( \frac{8748}{9375} \right) \times 100\)
\(\text{Required Percentage} = 0.93312 \times 100\)
\(\text{Required Percentage} = 93.312\)
The question asks for the approximate percentage. Looking at the options, 93.312% is approximately 93%.
Therefore, the number of items of type B produced in 2020 is approximately 93% of the number of items of type B produced in 2021.
Revision Table: Key Calculations
| Metric | Value |
|---|---|
| Total Production 2020 | 48600 |
| Total Production 2021 | 62500 |
| % of Item B in 2020 | 18% |
| % of Item B in 2021 | 15% |
| Number of B items in 2020 | 8748 |
| Number of B items in 2021 | 9375 |
| (B in 2020 / B in 2021) * 100 | 93.312% |
| Approximate Percentage | 93% |
Additional Information: Data Interpretation Basics
Data interpretation questions often involve extracting information from tables, charts, or graphs and performing calculations based on percentages, ratios, averages, or proportions. Key skills required include careful reading of the question, accurate data extraction, and precise calculation.
- Percentages: A percentage represents a part per hundred. To find a percentage of a total, convert the percentage to a decimal (divide by 100) and multiply by the total.
- Finding Percentage of Another Quantity: To express quantity A as a percentage of quantity B, use the formula \(\left( \frac{A}{B} \right) \times 100\).
- Approximation: Sometimes, questions ask for approximate values. Perform the calculation accurately first, and then round to the nearest value provided in the options.
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?
