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. 380ConceptIn a percentage-distribution table, one town whose actual head-count is known fixes the grand total: Total = known count ÷ that town’s percentage…

  1. A.

    340

  2. B.

    360

  3. C.

    380

  4. 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

  1. 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.

  2. Town C carries 28% of that total, so Town C has 28% of 6000 = 1680 viewers.

  3. The table records 880 subscribers in Town C, so the Town-C viewers who did not subscribe number 1680 − 880 = 800.

  4. Female viewers of Town C are 325/7% of 1680 = 1680 × 325 ÷ 700 = 780.

  5. Of those female viewers, 7/13 did not subscribe: 780 × 7 ÷ 13 = 420 female non-subscribers.

  6. 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.

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