The table given below shows the distribution percentage of number of candidates qualifying a Common Entrance Test (CET) in six cities A-F during the year 2020 and 2021, along with the ratio of males (M) to females (F) among the qualified candidates. The total number of qualified candidates in all the six cities together during 2020 and 2021 are 3800 and 4600 respectively. Based on the data in the table, answer the question that follows: City-wise Distribution of CET Qualified Candidates. Year 2020 2021 City (Distribution % of Qualified Candidates) Ratio (Distribution % of Qualified Candidates) Ratio M ∶ F M ∶ F A 13% 8 ∶ 5 24% 5 ∶ 7 B 27% 11 ∶ 8 15% 12 ∶ 11 C 11% 7 ∶ 4 23% 15 ∶ 8 D 20% 2 ∶ 3 17% 8 ∶ 9 E 8% 5 ∶ 3 8% 1 ∶ 3 F 21% 13 ∶ 8 13% 5 ∶ 8
The number of females qualified from City-F in 2020 is ____________ % of the number of candidates qualified from City-E in the same year.
100
Analyzing CET Qualified Candidates Data
The question asks us to determine the number of females qualified from City-F in 2020 as a percentage of the total number of candidates qualified from City-E in the same year. We need to use the provided table showing the distribution percentage of qualified candidates and the male-to-female ratios for each city and year.
| Year | 2020 | 2021 | ||
|---|---|---|---|---|
| City | Distribution % of Qualified Candidates | Ratio M &Female; F | Distribution % of Qualified Candidates | Ratio M &Female; F |
| A | 13% | 8 ∶ 5 | 24% | 5 ∶ 7 |
| B | 27% | 11 ∶ 8 | 15% | 12 ∶ 11 |
| C | 11% | 7 ∶ 4 | 23% | 15 ∶ 8 |
| D | 20% | 2 ∶ 3 | 17% | 8 ∶ 9 |
| E | 8% | 5 ∶ 3 | 8% | 1 ∶ 3 |
| F | 21% | 13 ∶ 8 | 13% | 5 ∶ 8 |
We are given the total number of qualified candidates in all six cities for 2020 is 3800.
Calculate Number of Females Qualified from City-F in 2020
First, let's find the total number of qualified candidates from City-F in 2020. The table shows that 21% of the total qualified candidates in 2020 were from City-F.
- Total qualified candidates in 2020 = 3800
- Percentage of candidates from City-F in 2020 = 21%
- Number of candidates from City-F in 2020 = $3800 \times \frac{21}{100} = 38 \times 21 = 798$
Next, we find the number of females from City-F in 2020. The male to female ratio for City-F in 2020 is given as 13:8. The total parts in the ratio are $13 + 8 = 21$.
- Total candidates from City-F in 2020 = 798
- Ratio of Males to Females (M:F) in City-F (2020) = 13:8
- Total parts in ratio = 13 + 8 = 21
- Number of females from City-F in 2020 = Total candidates from City-F $\times \frac{\text{Female ratio part}}{\text{Total ratio parts}}$
- Number of females from City-F in 2020 = $798 \times \frac{8}{21}$
- $798 \div 21 = 38$
- Number of females from City-F in 2020 = $38 \times 8 = 304$
So, the number of females qualified from City-F in 2020 is 304.
Calculate Total Number of Candidates Qualified from City-E in 2020
Now, let's find the total number of qualified candidates from City-E in 2020. The table shows that 8% of the total qualified candidates in 2020 were from City-E.
- Total qualified candidates in 2020 = 3800
- Percentage of candidates from City-E in 2020 = 8%
- Number of candidates from City-E in 2020 = $3800 \times \frac{8}{100} = 38 \times 8 = 304$
So, the total number of candidates qualified from City-E in 2020 is 304.
Calculate the Percentage
Finally, we need to find the number of females qualified from City-F in 2020 as a percentage of the total number of candidates qualified from City-E in the same year.
- Number of females from City-F in 2020 = 304
- Total candidates from City-E in 2020 = 304
- Percentage = $\frac{\text{Number of females from City-F (2020)}}{\text{Total candidates from City-E (2020)}} \times 100\%$
- Percentage = $\frac{304}{304} \times 100\%$
- Percentage = $1 \times 100\%$
- Percentage = $100\%$
Therefore, the number of females qualified from City-F in 2020 is 100% of the number of candidates qualified from City-E in the same year.
Revision Table - CET Data Analysis
| Metric | Value (2020) |
|---|---|
| Total Qualified Candidates (All Cities) | 3800 |
| Distribution % City-F | 21% |
| Ratio M:F City-F | 13:8 |
| Distribution % City-E | 8% |
| Number of Candidates City-F | $3800 \times 0.21 = 798$ |
| Females in City-F | $798 \times (8/21) = 304$ |
| Number of Candidates City-E | $3800 \times 0.08 = 304$ |
| Females City-F as % of Candidates City-E | $(304 / 304) \times 100\%$ = 100% |
Additional Information - Percentage Calculations
Percentage calculation is a fundamental concept in quantitative aptitude. A percentage represents a part of a whole, expressed as a fraction of 100. The formula to calculate the percentage of a value 'A' with respect to a value 'B' is:
$\text{Percentage} = \frac{A}{B} \times 100\%$
In this problem, 'A' is the number of females from City-F in 2020, and 'B' is the total number of candidates from City-E in 2020. Both values were calculated based on the given total qualified candidates for the year and the respective distribution percentages from the table.
Ratio analysis is also crucial. A ratio like M:F means that for every M males, there are F females. The total number of individuals is proportional to M + F. To find the number of females when the total is known and the ratio M:F is given, you calculate: Total $\times \frac{F}{M+F}$.
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?
