The following table embodies details about the number of Personal Computer (PCs) produced and the percentage of PCs sold by two companies A and B from the year 2014 to 2019 . Based on the data in the table, answer the question Year-wise Production and Sale of PCs Year Number of PCs produced by Company (in Thousands) Percentage (%) of PCs sold by Company A B A B 2014 40 45 60% 50% 2015 52 48 75% 40% 2016 60 64 50% 75% 2017 70 62 80% 60% 2018 72 65 40% 80% 2019 90 80 60% 50%
The number of PCs sold by Company A in 2015 is what percentage of the number of PCs sold by Company B in the year 2019?
97.5%
This problem requires us to analyze the provided table showing the production and sale data for Personal Computers (PCs) by two companies, A and B, across several years.
The question asks for the percentage that the number of PCs sold by Company A in 2015 represents of the number of PCs sold by Company B in the year 2019.
| Year | Number of PCs produced by Company (in Thousands) |
Percentage (%) of PCs sold by Company |
||
|---|---|---|---|---|
| A | B | A | B | |
| 2014 | 40 | 45 | 60% | 50% |
| 2015 | 52 | 48 | 75% | 40% |
| 2016 | 60 | 64 | 50% | 75% |
| 2017 | 70 | 62 | 80% | 60% |
| 2018 | 72 | 65 | 40% | 80% |
| 2019 | 90 | 80 | 60% | 50% |
Step-by-Step PC Sales Calculation
To answer this question, we first need to calculate the exact number of PCs sold by Company A in 2015 and by Company B in 2019.
Calculate PCs Sold by Company A in 2015
- From the table, the number of PCs produced by Company A in 2015 is 52 thousand.
- The percentage of PCs sold by Company A in 2015 is 75%.
- Number of PCs sold by Company A in 2015 $= \text{Production} \times \text{Percentage Sold}$
- Number of PCs sold by Company A in 2015 $= 52 \text{ thousand} \times 75\%$
- Number of PCs sold by Company A in 2015 $= 52 \times \frac{75}{100} \text{ thousand}$
- Number of PCs sold by Company A in 2015 $= 52 \times 0.75 \text{ thousand}$
- Number of PCs sold by Company A in 2015 $= 39 \text{ thousand}$
Calculate PCs Sold by Company B in 2019
- From the table, the number of PCs produced by Company B in 2019 is 80 thousand.
- The percentage of PCs sold by Company B in 2019 is 50%.
- Number of PCs sold by Company B in 2019 $= \text{Production} \times \text{Percentage Sold}$
- Number of PCs sold by Company B in 2019 $= 80 \text{ thousand} \times 50\%$
- Number of PCs sold by Company B in 2019 $= 80 \times \frac{50}{100} \text{ thousand}$
- Number of PCs sold by Company B in 2019 $= 80 \times 0.50 \text{ thousand}$
- Number of PCs sold by Company B in 2019 $= 40 \text{ thousand}$
Determine Percentage of Company A Sales (2015) relative to Company B Sales (2019)
Now we need to find what percentage the number of PCs sold by Company A in 2015 (39 thousand) is of the number of PCs sold by Company B in 2019 (40 thousand).
- Percentage $= \left( \frac{\text{PCs sold by Company A in 2015}}{\text{PCs sold by Company B in 2019}} \right) \times 100\%$
- Percentage $= \left( \frac{39 \text{ thousand}}{40 \text{ thousand}} \right) \times 100\%$
- Percentage $= \left( \frac{39}{40} \right) \times 100\%$
- Percentage $= 0.975 \times 100\%$
- Percentage $= 97.5\%$
Therefore, the number of PCs sold by Company A in 2015 is 97.5% of the number of PCs sold by Company B in the year 2019.
Revision Table: PC Sales Data
| Company | Year | Production (Thousands) | Percentage Sold | Number Sold (Thousands) |
|---|---|---|---|---|
| A | 2015 | 52 | 75% | $52 \times 0.75 = 39$ |
| B | 2019 | 80 | 50% | $80 \times 0.50 = 40$ |
Additional Information on Data Interpretation
Data interpretation questions often require careful reading of tables and graphs. Key points to remember include:
- Pay attention to the units used (e.g., "in Thousands" for production).
- Understand what percentages refer to (e.g., percentage of PCs sold out of produced PCs).
- Break down the question into smaller calculation steps.
- Ensure you are using data from the correct company and the correct year for each part of the calculation.
- Double-check the final calculation and compare it with the given 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?
