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
Understanding College Student Data
The question asks to find the college with the fewest female students with low income. We are given that all colleges have the same number of total students. We need to use the provided percentages and ratios.
Let 'T' be the total number of students in each college. Since 'T' is constant across all colleges, we can calculate the number of female students with low income for each college. For simplicity, we can assume T = 100 students per college to easily compare the results.
Calculating Female Students with Low Income
The number of female students with low income is determined by first finding the number of students with low income and then applying the male-to-female ratio for that group.
Formula:
$Number of Females (Low Income) = T * (Percentage Low Income / 100) * (Female Ratio Part / Total Ratio Parts)$
Assuming T = 100:
| College | % Students with Low Income | M:F Ratio (Low Income) | Low Income Students (T=100) | Female Proportion (Low Income) | Female Students with Low Income (T=100) |
| A | 35% | 6:7 | $100 \times \frac{35}{100} = 35$ | $\frac{7}{6+7} = \frac{7}{13}$ | $35 \times \frac{7}{13} \approx 18.85$ |
| B | 25% | 3:5 | $100 \times \frac{25}{100} = 25$ | $\frac{5}{3+5} = \frac{5}{8}$ | $25 \times \frac{5}{8} = 15.625$ |
| C | 24% | 1:2 | $100 \times \frac{24}{100} = 24$ | $\frac{2}{1+2} = \frac{2}{3}$ | $24 \times \frac{2}{3} = 16$ |
| D | 19% | 3:2 | $100 \times \frac{19}{100} = 19$ | $\frac{2}{3+2} = \frac{2}{5}$ | $19 \times \frac{2}{5} = 7.6$ |
| E | 15% | 5:3 | $100 \times \frac{15}{100} = 15$ | $\frac{3}{5+3} = \frac{3}{8}$ | $15 \times \frac{3}{8} = 5.625$ |
Comparing Results for Low Income Females
After calculating the number of female students with low income for each college (assuming T=100), we compare the values:
- College A: $\approx 18.85$
- College B: $15.625$
- College C: $16$
- College D: $7.6$
- College E: $5.625$
The smallest value among these represents the college with the least number of female students with low income.
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?
