The table shows the percentage distribution of all members (male and female…
2023
The table shows the percentage distribution of all members (male and female combined) and of male members across five health clubs A-E in 2022. Club C has 1,764 total members, and club E has 576 male members. Use the table to answer the question.
Health Club-Wise Distribution of Members
Health Club | Members (Male and Female) | Male Members |
|---|---|---|
A | 21% | 21% |
B | 33% | 32% |
C | 14% | 19% |
D | 20% | 20% |
E | 12% | 8% |
The number of female members is more than 1,100 in exactly how many health clubs?
Answer: B. two — CONCEPTWhen a category percentage and one category count are known, the grand total equals the known count divided by that percentage. A club count is then…
- A.
One
- B.
two
- C.
three
- D.
four
Show answer & explanation
Correct answer: B
CONCEPT
When a category percentage and one category count are known, the grand total equals the known count divided by that percentage. A club count is then its percentage of the relevant grand total.
For each club, female members equal total members minus male members. Count only the clubs whose resulting female count is strictly greater than the stated threshold.
APPLICATION
Since club C contains 14% of all members, the grand total of members is 1,764 ÷ 0.14 = 12,600.
Since club E contains 8% of all male members, the grand total of male members is 576 ÷ 0.08 = 7,200.
Use the table percentages to obtain each club total from 12,600 and each club male count from 7,200.
Subtract male members from total members for every club: A = 2,646 - 1,512 = 1,134; B = 4,158 - 2,304 = 1,854; C = 1,764 - 1,368 = 396; D = 2,520 - 1,440 = 1,080; E = 1,512 - 576 = 936.
Compare the female counts with 1,100. Only A (1,134) and B (1,854) are strictly greater than 1,100.
Club | Total Members | Male Members | Female Members | Above 1,100? |
|---|---|---|---|---|
A | 2,646 | 1,512 | 1,134 | Yes |
B | 4,158 | 2,304 | 1,854 | Yes |
C | 1,764 | 1,368 | 396 | No |
D | 2,520 | 1,440 | 1,080 | No |
E | 1,512 | 576 | 936 | No |
CROSS-CHECK
The total-member row sums to 2,646 + 4,158 + 1,764 + 2,520 + 1,512 = 12,600, and the male row sums to 1,512 + 2,304 + 1,368 + 1,440 + 576 = 7,200, so both percentage distributions reconcile with their grand totals.
The boundary is strict: D has 1,080 female members, which is below 1,100, so it is not counted. The result remains two.
Therefore, the number of qualifying health clubs is two.