Study the given table carefully and answer the questions that follow. The given table has the number of students enrolled for different courses in 5 different years along with their male and female categorization. Year B.sc BA B.Com M F M F M F 2016 380 220 520 405 200 80 2017 390 230 525 417 210 85 2018 395 235 535 427 212 87 2019 405 250 538 430 215 91 2020 415 275 543 438 221 97
Which year has the minimum percentage increase of male students in the college (including all courses)?
2019
Let's analyze the provided table showing student enrollment data across different years and courses, categorized by gender. The question asks to find the year with the minimum percentage increase in the total number of male students in the college compared to the previous year. To answer this, we need to calculate the total number of male students for each year and then determine the percentage increase year over year.
Calculating Total Male Students Per Year
First, we sum up the number of male students from all three courses (B.Sc., B.A., and B.Com) for each year given in the table.
| Year | B.Sc. (Male) | B.A. (Male) | B.Com. (Male) | Total Male Students |
|---|---|---|---|---|
| 2016 | 380 | 520 | 200 | $380 + 520 + 200 = 1100$ |
| 2017 | 390 | 525 | 210 | $390 + 525 + 210 = 1125$ |
| 2018 | 395 | 535 | 212 | $395 + 535 + 212 = 1142$ |
| 2019 | 405 | 538 | 215 | $405 + 538 + 215 = 1158$ |
| 2020 | 415 | 543 | 221 | $415 + 543 + 221 = 1179$ |
Calculating Percentage Increase in Male Students
Now, we calculate the percentage increase in the total number of male students for each year starting from 2017, compared to the previous year. The formula for percentage increase is:
$$\text{Percentage Increase} = \left( \frac{\text{Current Year Value} - \text{Previous Year Value}}{\text{Previous Year Value}} \right) \times 100$$
- Percentage Increase in 2017:
Increase in male students = $1125 - 1100 = 25$
Percentage Increase = $\left( \frac{25}{1100} \right) \times 100 \approx 2.27\%$
- Percentage Increase in 2018:
Increase in male students = $1142 - 1125 = 17$
Percentage Increase = $\left( \frac{17}{1125} \right) \times 100 \approx 1.51\%$
- Percentage Increase in 2019:
Increase in male students = $1158 - 1142 = 16$
Percentage Increase = $\left( \frac{16}{1142} \right) \times 100 \approx 1.40\%$
- Percentage Increase in 2020:
Increase in male students = $1179 - 1158 = 21$
Percentage Increase = $\left( \frac{21}{1158} \right) \times 100 \approx 1.81\%$
Comparing Percentage Increases
Let's compare the calculated percentage increases for the years 2017, 2018, 2019, and 2020:
- 2017: Approximately 2.27%
- 2018: Approximately 1.51%
- 2019: Approximately 1.40%
- 2020: Approximately 1.81%
By comparing these values, we can see that the minimum percentage increase in the total number of male students occurred in the year 2019 (approximately 1.40%).
Conclusion on Minimum Percentage Increase
Based on the calculations, the year with the minimum percentage increase of male students in the college across all courses is 2019.
Revision Table: Male Student Enrollment & Increase
This table summarizes the total male enrollment and percentage increase per year.
| Year | Total Male Students | Increase from Previous Year | Percentage Increase (%) |
|---|---|---|---|
| 2016 | 1100 | - | - |
| 2017 | 1125 | 25 | $\approx 2.27$ |
| 2018 | 1142 | 17 | $\approx 1.51$ |
| 2019 | 1158 | 16 | $\approx 1.40$ |
| 2020 | 1179 | 21 | $\approx 1.81$ |
Additional Information on Percentage Change Calculations
Understanding percentage change is crucial for analyzing trends in data like enrollment figures. It allows us to compare changes across different periods, even if the base numbers are different. A percentage increase indicates growth, while a percentage decrease indicates reduction.
- To calculate percentage decrease, the formula is similar: $\left( \frac{\text{Previous Year Value} - \text{Current Year Value}}{\text{Previous Year Value}} \right) \times 100$. Note the order of subtraction.
- Percentage change is always calculated relative to the initial or previous value.
- Data interpretation skills, especially from tables and charts, are essential for solving such quantitative aptitude problems often found in competitive exams. Practicing with different datasets helps improve speed and accuracy.
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?
