If P is the total number of unsubscribed viewers in Town B and Town C…
2024
If P is the total number of unsubscribed viewers in Town B and Town C together, and Q is the number of unsubscribed viewers in Town E, then Q is what percentage of P?
Answer: B. 70 — ConceptWhen a part is expressed as a percentage of a base, use: percentage = (part / base) × 100. For a percentage-distribution table, first recover the grand…
- A.
60
- B.
70
- C.
80
- D.
75
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Concept
When a part is expressed as a percentage of a base, use: percentage = (part / base) × 100.
For a percentage-distribution table, first recover the grand total from a town whose absolute total is known, then compute each town total and subtract subscribers to obtain unsubscribed viewers.
Application
Town E forms 20% of the grand total and has 1,200 viewers. Therefore, grand total = 1,200 / 0.20 = 6,000.
Town B viewers = 15% of 6,000 = 900; unsubscribed viewers in B = 900 − 500 = 400.
Town C viewers = 28% of 6,000 = 1,680; unsubscribed viewers in C = 1,680 − 880 = 800.
Thus, P = 400 + 800 = 1,200.
Town E has 1,200 viewers and 360 subscribers, so Q = 1,200 − 360 = 840.
Q as a percentage of P = (840 / 1,200) × 100 = 70%.
Cross-check
Seventy percent of 1,200 is 0.70 × 1,200 = 840, which matches Q. Hence the required percentage is 70%.