Table-1 below shows the percentage (%) distribution of candidates who…
2023
Table-1 below shows the percentage (%) distribution of candidates who qualified in a competitive examination from six different states A-F during the two years 2021 and 2022, along with the ratio of Males to females among them and Table-2 shows the total number of candidates who appeared and percentage (%) of candidates who qualified from all the six states A-F in same two years. Based on the data in the tables, answer the questions that follow:
Table - 1: State-wise Details of Qualified Candidates in 2021 and 2022.
State | 2021 Qualified (%) | 2021 Male : Female | 2022 Qualified (%) | 2022 Male : Female |
|---|---|---|---|---|
A | 18% | 5:4 | 20% | 28:17 |
B | 16% | 3:1 | 12% | 5:3 |
C | 12% | 7:5 | 16% | 11:5 |
D | 16% | 13:11 | 15% | 15:11 |
E | 25% | 13:12 | 22% | 15:5 |
F | 13% | 8:1 | 15% | 11:9 |
Table - 2: Year-wise Details of Appeared and Qualified (%) Candidates
Year | Total Appeared from states A-F | Percentage (%) Qualified from States A-F |
|---|---|---|
2021 | 142000 | 45% |
2022 | 180000 | 52% |
The number of female candidates who qualified from state B in 2021 is approximately ______ % of the male candidates who qualified from state A in 2022.
Answer: B. 22 — ConceptTo compare one count with another as a percentage, first compute both counts from the table, then use (part ÷ reference) × 100. When a group is divided…
- A.
16
- B.
22
- C.
20
- D.
18
Show answer & explanation
Correct answer: B
Concept
To compare one count with another as a percentage, first compute both counts from the table, then use (part ÷ reference) × 100.
When a group is divided in the ratio m : f, the male share is m/(m + f) and the female share is f/(m + f).
Application
Total candidates qualified in 2021 = 142,000 × 45/100 = 63,900.
State B qualified candidates in 2021 = 63,900 × 16/100 = 10,224. With male : female = 3 : 1, females = 10,224 × 1/(3 + 1) = 2,556.
Total candidates qualified in 2022 = 180,000 × 52/100 = 93,600.
State A qualified candidates in 2022 = 93,600 × 20/100 = 18,720. With male : female = 28 : 17, males = 18,720 × 28/(28 + 17) = 11,648.
Required percentage = (2,556 ÷ 11,648) × 100 ≈ 21.94%, which rounds to 22%.
Cross-check
22% of 11,648 is 2,562.56, which is very close to 2,556; the small difference is due to rounding.
Therefore, the required approximate percentage is 22%.