If out of the number of viewers from Town-C, 325/7% are female and 7/13 of the…
2024
If out of the number of viewers from Town-C, 325/7% are female and 7/13 of the number of female viewers are unsubscribed viewers, then the number of unsubscribed male viewers from Town-C is.
Answer: C. 380 — ConceptIn a percentage-distribution table, one town whose actual head-count is known fixes the grand total: Total = known count ÷ that town’s percentage…
- A.
340
- B.
360
- C.
380
- D.
420
Show answer & explanation
Correct answer: C
Concept
In a percentage-distribution table, one town whose actual head-count is known fixes the grand total: Total = known count ÷ that town’s percentage share. Every other town’s count then follows as its own share of that total. Inside a town the audience is split two ways at the same time — subscriber versus non-subscriber, and female versus male — so a count that must satisfy one condition from each split is obtained by removing the known part from the whole it belongs to.
Applying it to this data
Town E carries 20% of all viewers and has 1200 viewers, so the total number of viewers across the five towns is 1200 ÷ 20% = 6000.
Town C carries 28% of that total, so Town C has 28% of 6000 = 1680 viewers.
The table records 880 subscribers in Town C, so the Town-C viewers who did not subscribe number 1680 − 880 = 800.
Female viewers of Town C are 325/7% of 1680 = 1680 × 325 ÷ 700 = 780.
Of those female viewers, 7/13 did not subscribe: 780 × 7 ÷ 13 = 420 female non-subscribers.
Every Town-C non-subscriber is either female or male, so the male non-subscribers number 800 − 420 = 380.
Cross-check
Male viewers of Town C number 1680 − 780 = 900, so male subscribers must be 900 − 380 = 520, and female subscribers 780 − 420 = 360. Their sum 520 + 360 = 880 reproduces exactly the subscriber figure the table records for Town C, so the whole grid is consistent:
Town C | Subscribed | Did not subscribe | Total |
|---|---|---|---|
Female | 360 | 420 | 780 |
Male | 520 | 380 | 900 |
Total | 880 | 800 | 1680 |
So the number of unsubscribed male viewers from Town-C is 380.