The following table shows the percentage (9%) of colleges offering the four IT courses on Python, Java, Multimedia and Al in four Indian States A-D, in a certain year. The table also persents the percetage-wise distribution of the number of Colleges in the four states. The total number of Colleges in the four states is 4000. Based on the data in the table, answer the questions 1-5. State-wise Percentage of Colleges offering IT Courses State % of Colleges offering % Distribution of Number of Colleges Python Java Multimedia Al A 86% 74% 59% 56% 35% B 80% 92% 82% 84% 15% C 74% 88% 84% 86% 20% D 68% 64% 68% 70% 30%
Number of Colleges offering Java in State B is ______ % of the number of Colleges offering Al in State C.
Solving the College IT Course Percentage Problem
The question asks us to find the number of colleges offering Java in State B as a percentage of the number of colleges offering AI in State C. We are given a table with the percentage of colleges offering four IT courses in four states (A, B, C, D) and the percentage distribution of the total number of colleges across these states. The total number of colleges is 4000.
First, let's look at the data provided in the table:
| State | % of Colleges offering Python | % of Colleges offering Java | % of Colleges offering Multimedia | % of Colleges offering AI | % Distribution of Number of Colleges |
|---|---|---|---|---|---|
| A | 86% | 74% | 59% | 56% | 35% |
| B | 80% | 92% | 82% | 84% | 15% |
| C | 74% | 88% | 84% | 86% | 20% |
| D | 68% | 64% | 68% | 70% | 30% |
Total number of colleges across the four states is 4000.
Calculating Number of Colleges Offering Java in State B
To find the number of colleges offering Java in State B, we first need to determine the total number of colleges in State B. According to the table, State B has 15% of the total colleges.
- Total colleges = 4000
- Percentage of colleges in State B = 15%
- Number of colleges in State B = $$15\% \text{ of } 4000 = \frac{15}{100} \times 4000$$
- Number of colleges in State B = $$0.15 \times 4000 = 600$$
Now, we find the number of colleges offering Java in State B. The table shows that 92% of colleges in State B offer Java.
- Number of colleges in State B = 600
- Percentage of colleges offering Java in State B = 92%
- Number of colleges offering Java in State B = $$92\% \text{ of } 600 = \frac{92}{100} \times 600$$
- Number of colleges offering Java in State B = $$0.92 \times 600 = 552$$
Calculating Number of Colleges Offering AI in State C
Next, we find the number of colleges offering AI in State C. First, we need the total number of colleges in State C. According to the table, State C has 20% of the total colleges.
- Total colleges = 4000
- Percentage of colleges in State C = 20%
- Number of colleges in State C = $$20\% \text{ of } 4000 = \frac{20}{100} \times 4000$$
- Number of colleges in State C = $$0.20 \times 4000 = 800$$
Now, we find the number of colleges offering AI in State C. The table shows that 86% of colleges in State C offer AI.
- Number of colleges in State C = 800
- Percentage of colleges offering AI in State C = 86%
- Number of colleges offering AI in State C = $$86\% \text{ of } 800 = \frac{86}{100} \times 800$$
- Number of colleges offering AI in State C = $$0.86 \times 800 = 688$$
Finding the Required Percentage
The question asks for the number of colleges offering Java in State B as a percentage of the number of colleges offering AI in State C. We need to calculate:
$$ \frac{\text{Number of colleges offering Java in State B}}{\text{Number of colleges offering AI in State C}} \times 100\% $$
- Number of colleges offering Java in State B = 552
- Number of colleges offering AI in State C = 688
Required Percentage = $$ \frac{552}{688} \times 100\% $$
Required Percentage = $$ 0.802325... \times 100\% $$
Required Percentage ≈ $$ 80.23\% $$
Thus, the number of colleges offering Java in State B is approximately 80.23% of the number of colleges offering AI in State C.
Revision Table: Key Calculations
| Description | Calculation | Result |
|---|---|---|
| Total Colleges in State B | $15\% \text{ of } 4000 = 0.15 \times 4000$ | 600 |
| Colleges offering Java in State B | $92\% \text{ of } 600 = 0.92 \times 600$ | 552 |
| Total Colleges in State C | $20\% \text{ of } 4000 = 0.20 \times 4000$ | 800 |
| Colleges offering AI in State C | $86\% \text{ of } 800 = 0.86 \times 800$ | 688 |
| Percentage (Java in B / AI in C) | $\frac{552}{688} \times 100\%$ | $\approx 80.23\%$ |
Additional Information: Understanding Percentage Calculations with Table Data
This problem involves interpreting data from a table and performing percentage calculations. It's important to distinguish between the percentage distribution of colleges across states and the percentage of colleges within a state offering a specific course.
- The "% Distribution of Number of Colleges" column tells us what portion of the total 4000 colleges are located in each state. For example, State B has 15% of the total 4000 colleges.
- The "% of Colleges offering..." columns (Python, Java, Multimedia, AI) tell us what portion of the colleges within that specific state offer a particular course. For example, 92% of the colleges in State B offer Java.
- To find the actual number of colleges offering a specific course in a state, you first find the total number of colleges in that state (using the distribution percentage and the total number of colleges) and then apply the course percentage to that state's total.
- Finally, to find one number as a percentage of another, you divide the first number by the second number and multiply by 100.
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?
