The following table shows the percentage (%) distribution of members (male and…
2023
The following table shows the percentage (%) distribution of members (male and female combined) and male members across five health clubs A–E in 2022. Health club C has 1,764 members in total, and health club E has 576 male members. Based on the table, answer the question that follows.
Health Club-Wise Distribution of Members
Health Club | Members (Male & Female) | Male |
|---|---|---|
A | 21% | 21% |
B | 33% | 32% |
C | 14% | 19% |
D | 20% | 20% |
E | 12% | 8% |
Number of male members in health clubs A and C is approximately ____% less than the number of members (both male and female) of health clubs B and C.
Answer: C. 51.37 — ConceptWhen a category value is given as p% of a known total, its count is (p/100) × total. If X is less than Y, the percentage decrease relative to Y is ((Y…
- A.
69.42
- B.
72.54
- C.
51.37
- D.
42.21
Show answer & explanation
Correct answer: C
Concept
When a category value is given as p% of a known total, its count is (p/100) × total. If X is less than Y, the percentage decrease relative to Y is ((Y − X)/Y) × 100.
Application
Health club C has 1,764 members, which is 14% of all members. Therefore, the total number of members across the five clubs is 1,764 ÷ 0.14 = 12,600.
Health club E has 576 male members, which is 8% of all male members. Therefore, the total number of male members across the five clubs is 576 ÷ 0.08 = 7,200.
Male members in A and C together are (21% + 19%) of 7,200 = 40% of 7,200 = 2,880.
All members in B and C together are (33% + 14%) of 12,600 = 47% of 12,600 = 5,922.
The required percentage decrease is ((5,922 − 2,880) ÷ 5,922) × 100 = (3,042 ÷ 5,922) × 100 ≈ 51.37%.
Cross-check
Retaining 100% − 51.37% = 48.63% of 5,922 gives about 2,880, which matches the independently computed male membership of A and C.
Result: approximately 51.37%.