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 subscribed viewers in Town-E, then Q is ______ % less than P.
Answer: D. 70 — ConceptWhen one quantity is x% less than a reference quantity, the percentage decrease is calculated relative to the reference quantity. Percentage less =…
- A.
65
- B.
80
- C.
60
- D.
70
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
When one quantity is x% less than a reference quantity, the percentage decrease is calculated relative to the reference quantity.
Percentage less = ((reference quantity - compared quantity) / reference quantity) × 100.
Application
Since Town E has 1,200 viewers and represents 20% of all viewers, the total across all towns is 1,200 ÷ 0.20 = 6,000.
Town B has 15% of 6,000 = 900 viewers. Its unsubscribed viewers are 900 - 500 = 400.
Town C has 28% of 6,000 = 1,680 viewers. Its unsubscribed viewers are 1,680 - 880 = 800.
Therefore P = 400 + 800 = 1,200, while Q = 360.
The percentage by which Q is less than P is ((1,200 - 360) / 1,200) × 100 = (840 / 1,200) × 100 = 70%.
Cross-check
A 70% decrease leaves 30% of the reference quantity, and 30% of 1,200 is 360. This matches Q, so the required value is 70%.