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% | 15:9 |
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 male candidates who qualified from state E in 2022 is approximately ______ % more than the number of male candidates who qualified from state F in 2021.
Answer: B. 74 — ConceptWhen a table gives a share of all qualified candidates and a male-to-female ratio, calculate in layers: total qualified = appeared × qualification…
- A.
72
- B.
74
- C.
70
- D.
76
Show answer & explanation
Correct answer: B
Concept
When a table gives a share of all qualified candidates and a male-to-female ratio, calculate in layers: total qualified = appeared × qualification rate; state qualified = total qualified × state share; male count = state qualified × M/(M + F).
To find how much one quantity is more than another, use ((larger − base)/base) × 100. The comparison base is the quantity named after “than”.
Application
For 2022, the total qualified candidates were 180,000 × 52/100 = 93,600.
State E accounted for 22% of them, so its qualified count was 93,600 × 22/100 = 20,592.
For State E in 2022, the male share was 15/(15 + 9) = 5/8. Hence the male count was 20,592 × 5/8 = 12,870.
For 2021, the total qualified candidates were 142,000 × 45/100 = 63,900.
State F accounted for 13% of them, so its qualified count was 63,900 × 13/100 = 8,307.
For State F in 2021, the male share was 8/(8 + 1) = 8/9. Hence the male count was 8,307 × 8/9 = 7,384.
The percentage by which 12,870 exceeds 7,384 is ((12,870 − 7,384)/7,384) × 100 = (5,486/7,384) × 100 ≈ 74.3%.
Cross-check
Increasing 7,384 by about 74.3% gives 7,384 × 1.743 ≈ 12,870, which reproduces the State E male count.
Therefore, the required approximate percentage increase is 74%.