The following table gives the percentage of students belonging to low income group in each of the five colleges A, B, C, D and E, along with the proportion of males and females with and without low income.College Name Percentage of students
with low incomeProportion of males
and femalesWith low income Without low income M:F M:F A 35 5:6 6:7 B 25 3:5 4:5 C 24 1:2 2:3 D 19 3:2 4:3 E 15 5:3 3:2
College E Students Calculation
The question asks for the total number of students in College E, given specific data about students without low income.
Data for College E
- Percentage of students with low income: 15%
- Percentage of students without low income: $100\% - 15\% = 85\%$
- Proportion of males (M) to females (F) without low income: M:F = 3:2
- Number of males without low income: 2295
Step 1: Calculate Total Students Without Low Income
The proportion 3:2 means that males constitute $\frac{3}{3+2} = \frac{3}{5}$ of the students without low income.
Let $N_{W/O}$ represent the total number of students without low income in College E.
We have the equation:
$ 2295 = \frac{3}{5} \times N_{W/O} $Solving for $N_{W/O}$:
$ N_{W/O} = 2295 \times \frac{5}{3} $ $ N_{W/O} = 765 \times 5 $ $ N_{W/O} = 3825 $So, there are 3825 students without low income in College E.
Step 2: Calculate Total Students in College E
Students without low income make up 85% of the total students in College E.
Let $N_{Total}$ represent the total number of students in College E.
We have the equation:
$ N_{W/O} = 85\% \text{ of } N_{Total} $ $ 3825 = 0.85 \times N_{Total} $Solving for $N_{Total}$:
$ N_{Total} = \frac{3825}{0.85} $ $ N_{Total} = \frac{382500}{85} $ $ N_{Total} = 4500 $Therefore, the total number of students in College E is 4500.
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?
