The table given below shows the distribution percentage of number of…
2023
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.
Years | 2020 | 2021 | ||
|---|---|---|---|---|
City | Distribution % of Qualified Candidates | Ratio M:F | Distribution % of Qualified Candidates | Ratio 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-B in 2021 is approximately ____% more than the number of males qualified from City-E in the year 2020.
Answer: B. 73.68 — ConceptTo extract a subgroup from a percentage distribution, first find the group total and then multiply by the subgroup share from its ratio. To compare two…
- A.
71.42
- B.
73.68
- C.
75.13
- D.
77.56
Show answer & explanation
Correct answer: B
Concept
To extract a subgroup from a percentage distribution, first find the group total and then multiply by the subgroup share from its ratio. To compare two quantities, percentage more = (difference ÷ original quantity) × 100.
Application
City B in 2021 had 15% of 4600 qualified candidates: 4600 × 15/100 = 690.
The male-to-female ratio there was 12:11, so females = 690 × 11/(12 + 11) = 690 × 11/23 = 330.
City E in 2020 had 8% of 3800 qualified candidates: 3800 × 8/100 = 304.
The male-to-female ratio there was 5:3, so males = 304 × 5/(5 + 3) = 304 × 5/8 = 190.
Percentage more = (330 − 190)/190 × 100 = 140/190 × 100 = 73.68% (approximately).
Cross-check
Increasing 190 by 73.68% gives 190 × 1.7368 ≈ 330, which agrees with the independently calculated female count. Therefore, the required percentage is 73.68%.