The following table presents the percentage (%) distribution of students of UG and PG levels in seven different colleges (A-G) in a city during the academic session 2020-21. There is a total number of 52,000 students in all colleges including 27,300 students of UG level. Based on the data in the table, answer the question. College - wise percentage (%) of students at College↓ Percentage (%) of students at UG Level PG Level A 17% 8% B 12% 15% C 11% 12% D 13% 13% E 18% 14% F 14% 21% G 15% 17%
How many students of colleges A and F taken together are studying at UG level?
8463
Calculating UG Students in Colleges A and F
The problem provides data about the distribution of undergraduate (UG) and postgraduate (PG) students across seven different colleges (A-G). We are given the total number of students and the total number of UG students across all colleges, as well as the percentage distribution of UG and PG students within each college.
We need to find the total number of UG students in colleges A and F combined.
Data from the Table and Problem
- Total number of students in all colleges: 52,000
- Total number of UG students in all colleges: 27,300
- Percentage of UG students in College A: 17%
- Percentage of UG students in College F: 14%
| College | Percentage (%) of students at UG Level | Percentage (%) of students at PG Level |
|---|---|---|
| A | 17% | 8% |
| B | 12% | 15% |
| C | 11% | 12% |
| D | 13% | 13% |
| E | 18% | 14% |
| F | 14% | 21% |
| G | 15% | 17% |
Step-by-Step Calculation of UG Students
To find the number of UG students in a specific college, we need to calculate the given percentage for that college based on the total number of UG students across all colleges, which is 27,300.
Calculate UG Students in College A
The percentage of UG students in College A is 17% of the total UG students.
Number of UG students in College A $= 17\%$ of $27,300$
Number of UG students in College A $= \frac{17}{100} \times 27,300$
Number of UG students in College A $= 0.17 \times 27,300$
Number of UG students in College A $= 4641$
Calculate UG Students in College F
The percentage of UG students in College F is 14% of the total UG students.
Number of UG students in College F $= 14\%$ of $27,300$
Number of UG students in College F $= \frac{14}{100} \times 27,300$
Number of UG students in College F $= 0.14 \times 27,300$
Number of UG students in College F $= 3822$
Total UG Students in Colleges A and F
To find the total number of UG students in colleges A and F taken together, we sum the number of UG students calculated for each college.
Total UG students (A and F) = (Number of UG students in College A) + (Number of UG students in College F)
Total UG students (A and F) = $4641 + 3822$
Total UG students (A and F) = $8463$
Therefore, the total number of students of colleges A and F taken together who are studying at UG level is 8463.
Revision Table: Key Data Points
| Description | Value |
|---|---|
| Total Students (All Colleges) | 52,000 |
| Total UG Students (All Colleges) | 27,300 |
| UG % in College A | 17% |
| UG % in College F | 14% |
| Calculated UG Students in College A | 4641 |
| Calculated UG Students in College F | 3822 |
| Total UG Students in Colleges A & F | 8463 |
Additional Information: Understanding Percentage Distribution
In data interpretation questions involving percentages, it's crucial to identify the base upon which the percentage is calculated. In this problem, the percentages for UG students in each college are given as a percentage of the *total UG students across all colleges*. Similarly, the percentages for PG students are given as a percentage of the *total PG students across all colleges*. The total number of PG students can be calculated as Total Students - Total UG Students ($52000 - 27300 = 24700$).
For example, 17% UG students in College A means 17% of the 27,300 total UG students. It does *not* mean 17% of the total 52,000 students, nor does it mean 17% of the students *within* College A (as that would require knowing the total number of students in College A first, which is not provided).
Always read the table headings and introductory text carefully to understand the context and the base for percentage calculations.
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?
