Consider the following table which contains number of newspapers printed…
2023
Consider the following table which contains number of newspapers printed (within bracket) in each printing press and number of newspaper distributed in a day in a particular city. Based on the data in the table, answer the question that follows.
Newspaper/City | Newspaper (W) (5000) | Newspaper (X) (10000) | Newspaper (Y) (10000) | Newspaper (Z) (5000) |
|---|---|---|---|---|
City 1 | 1500 | 3000 | 3500 | 1000 |
City 2 | 1000 | 3500 | 3000 | 1000 |
City 3 | 500 | 1500 | 1500 | 500 |
City 4 | 500 | 1000 | 500 | 1500 |
What is the percentage of the newspapers which are not distributed to any city?
Answer: B. ~ 16.7 — ConceptFor any collection, the undistributed quantity equals the total quantity produced minus the total quantity distributed. Percentage undistributed =…
- A.
~ 15.2
- B.
~ 16.7
- C.
~ 17.7
- D.
~ 14.7
Show answer & explanation
Correct answer: B
Concept
For any collection, the undistributed quantity equals the total quantity produced minus the total quantity distributed.
Percentage undistributed = (undistributed quantity / total quantity produced) × 100.
Application
Total printed = 5,000 + 10,000 + 10,000 + 5,000 = 30,000.
Distributed copies by newspaper are: W = 1,500 + 1,000 + 500 + 500 = 3,500; X = 3,000 + 3,500 + 1,500 + 1,000 = 9,000; Y = 3,500 + 3,000 + 1,500 + 500 = 8,500; Z = 1,000 + 1,000 + 500 + 1,500 = 4,000.
Total distributed = 3,500 + 9,000 + 8,500 + 4,000 = 25,000.
Undistributed copies = 30,000 − 25,000 = 5,000.
Percentage undistributed = (5,000 / 30,000) × 100 = 16.666…%, which is approximately 16.7%.
Cross-check
The distributed share is (25,000 / 30,000) × 100 = 83.333…%; its complement is 100% − 83.333…% = 16.666…%.
Result: approximately 16.7%.