The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F. Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table. answer the questions 1-5: College-wise Distribution of Students College Distribution (%) Students (out of 60000) Girls (out of 24000) A 10% 15% B 9% 12% C 23% 18% D 18% 14% E 16% 20% F 24% 21%
The number of girl students studying in College C as a percentage of the number of boys studying in College E is
9%
Analyzing College Student Distribution Data
The question asks us to calculate the number of girl students in College C as a percentage of the number of boy students in College E, based on the provided distribution table.
We are given the total number of students across all colleges and the total number of girls across all colleges:
- Total number of students = 60000
- Total number of girls = 24000
The table shows the percentage distribution of these totals among the six colleges (A-F).
| College | Distribution (%) Students (out of 60000) | Distribution (%) Girls (out of 24000) |
|---|---|---|
| A | 10% | 15% |
| B | 9% | 12% |
| C | 23% | 18% |
| D | 18% | 14% |
| E | 16% | 20% |
| F | 24% | 21% |
Step 1: Calculate the number of girl students in College C
From the table, the percentage of girls in College C is 18% of the total number of girls.
Total girls = 24000
Percentage of girls in College C = 18%
Number of girls in College C = $\frac{18}{100} \times 24000$
Number of girls in College C = $0.18 \times 24000 = 4320$
So, there are 4320 girl students in College C.
Step 2: Calculate the total number of students in College E
From the table, the percentage of students in College E is 16% of the total number of students.
Total students = 60000
Percentage of students in College E = 16%
Number of students in College E = $\frac{16}{100} \times 60000$}
Number of students in College E = $0.16 \times 60000 = 9600$
So, there are 9600 total students in College E.
Step 3: Calculate the number of girl students in College E
From the table, the percentage of girls in College E is 20% of the total number of girls.
Total girls = 24000
Percentage of girls in College E = 20%
Number of girls in College E = $\frac{20}{100} \times 24000$}
Number of girls in College E = $0.20 \times 24000 = 4800$
So, there are 4800 girl students in College E.
Step 4: Calculate the number of boy students in College E
The total number of students in College E is the sum of boy students and girl students in College E.
Number of boy students in College E = Total students in College E - Number of girl students in College E
Number of boy students in College E = $9600 - 4800 = 4800$
So, there are 4800 boy students in College E.
Step 5: Calculate the number of girl students in College C as a percentage of the number of boys studying in College E
We need to find the percentage that the number of girl students in College C (4320) is of the number of boy students in College E (4800).
Required Percentage = $\left( \frac{\text{Number of girl students in College C}}{\text{Number of boy students in College E}} \right) \times 100\%$
Required Percentage = $\left( \frac{4320}{4800} \right) \times 100\%$
Required Percentage = $0.9 \times 100\%$
Required Percentage = $90\%$
Based on the calculations, the number of girl students studying in College C is 90% of the number of boys studying in College E.
Revision Table: Key Calculations
| Item | Calculation | Value |
|---|---|---|
| Girls in College C | $0.18 \times 24000$ | 4320 |
| Total Students in College E | $0.16 \times 60000$ | 9600 |
| Girls in College E | $0.20 \times 24000$ | 4800 |
| Boys in College E | $9600 - 4800$ | 4800 |
| Girls C as % of Boys E | $(4320 / 4800) \times 100\%$ | 90% |
Additional Information: Understanding Percentages
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct." For example, 50% represents half or 50 out of 100.
To calculate a percentage of a total amount, you convert the percentage to a decimal or a fraction and multiply it by the total. For example, 18% of 24000 is $0.18 \times 24000$.
To express one quantity as a percentage of another quantity, you use the formula:
Percentage $= \left( \frac{\text{Quantity 1}}{\text{Quantity 2}} \right) \times 100\%$
In this problem, Quantity 1 is the number of girl students in College C, and Quantity 2 is the number of boy students in College E.
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?
