The following table shows (i) the percentage distribution of total number of products P and Q produced by six companies A-F. (ii) the ratio of P to Q, and (iii) the percentage sale of P and Q. Total number of products P and Q produced by these companies is 8 lakhs. Based on the data in the table answer the questions: Company-wise distribution and sale of productsCompany Distribution (%) of P and Q Ratio Sale (%) P Q P Q A 24% 5 3 65% 62% B 18% 5 4 56% 78% C 15% 2 3 72% 66% D 28% 3 4 75% 60% E 7% 4 3 64% 55% F 8% 3 2 50% 48%
What is the average number of products P sold by all the six companies together?
44840
Understanding the Data: Product Distribution and Sales Analysis
The question asks for the average number of product P sold by all six companies (A, B, C, D, E, F) combined. To find this, we need to follow these steps for each company:
- Calculate the total number of products (P + Q) produced by the company.
- Using the ratio of P to Q, calculate the number of product P produced by the company.
- Using the percentage sale of P, calculate the number of product P sold by the company.
Finally, we will sum up the number of product P sold by all companies and divide by the number of companies (6) to find the average.
The total number of products P and Q produced by all companies together is 8 lakhs, which is \(8,00,000\).
Step-by-Step Calculation of Products P Sold per Company
Let's calculate the number of product P sold for each company based on the provided table data:
| Company | Distribution (%) of P and Q | Total Products (P+Q) | Ratio P : Q | Parts in Ratio | Products P Produced | Sale (%) of P | Products P Sold |
|---|---|---|---|---|---|---|---|
| A | 24% | \(0.24 \times 8,00,000 = 192,000\) | 5 : 3 | \(5+3=8\) | \(\frac{5}{8} \times 192,000 = 120,000\) | 65% | \(0.65 \times 120,000 = 78,000\) |
| B | 18% | \(0.18 \times 8,00,000 = 144,000\) | 5 : 4 | \(5+4=9\) | \(\frac{5}{9} \times 144,000 = 80,000\) | 56% | \(0.56 \times 80,000 = 44,800\) |
| C | 15% | \(0.15 \times 8,00,000 = 120,000\) | 2 : 3 | \(2+3=5\) | \(\frac{2}{5} \times 120,000 = 48,000\) | 72% | \(0.72 \times 48,000 = 34,560\) |
| D | 28% | \(0.28 \times 8,00,000 = 224,000\) | 3 : 4 | \(3+4=7\) | \(\frac{3}{7} \times 224,000 = 96,000\) | 75% | \(0.75 \times 96,000 = 72,000\) |
| E | 7% | \(0.07 \times 8,00,000 = 56,000\) | 4 : 3 | \(4+3=7\) | \(\frac{4}{7} \times 56,000 = 32,000\) | 64% | \(0.64 \times 32,000 = 20,480\) |
| F | 8% | \(0.08 \times 8,00,000 = 64,000\) | 3 : 2 | \(3+2=5\) | \(\frac{3}{5} \times 64,000 = 38,400\) | 50% | \(0.50 \times 38,400 = 19,200\) |
Calculating Total Products P Sold
Now, we sum the number of product P sold by all six companies:
Total P sold = \(78,000 + 44,800 + 34,560 + 72,000 + 20,480 + 19,200\)
Total P sold = \(269,040\)
Calculating Average Products P Sold
To find the average number of products P sold by all six companies, we divide the total number of products P sold by 6:
Average P sold = \(\frac{\text{Total P sold}}{\text{Number of companies}}\)
Average P sold = \(\frac{269,040}{6}\)
Average P sold = \(44,840\)
Thus, the average number of products P sold by all six companies together is 44,840.
Revision Table: Key Calculations for Product P Sold
| Company | Total Products (P+Q) | Products P Produced | Products P Sold |
|---|---|---|---|
| A | 192,000 | 120,000 | 78,000 |
| B | 144,000 | 80,000 | 44,800 |
| C | 120,000 | 48,000 | 34,560 |
| D | 224,000 | 96,000 | 72,000 |
| E | 56,000 | 32,000 | 20,480 |
| F | 64,000 | 38,400 | 19,200 |
Additional Information: Data Interpretation Fundamentals
Data interpretation questions test your ability to extract, process, and analyze data presented in various formats like tables, charts, or graphs. Key skills required include:
- Carefully reading and understanding the question.
- Identifying the relevant data points in the table or chart.
- Performing calculations accurately (percentages, ratios, averages).
- Breaking down complex problems into smaller, manageable steps.
- Being mindful of units (lakhs, percentage, ratio).
Practice with different types of data representation helps improve speed and accuracy in solving such problems, which are common in competitive exams.
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?
