The following table presents the details about the percentage (%) distribution…
2022
The following table presents the details about the percentage (%) distribution of teachers and the number of male teachers in six different cities (A-F). There is a total of 4500 teachers in all the six cities together. Based on the data in the table, answer the questions 1-5:
City-wise Distribution of Teachers
City | Percentage of Teachers (%) | Number of Male Teachers |
|---|---|---|
A | 14% | 200 |
B | 16% | 400 |
C | 28% | 600 |
D | 15% | 100 |
E | 21% | 500 |
F | 06% | 100 |
What is the total number of male teachers in City-F, female teachers in City-C and female teachers in City-B together?
Answer: A. 1080 — CONCEPTWhen a category is given as a percentage of a total, its count equals total × percentage ÷ 100. A subgroup count is found by subtracting the known…
- A.
1080
- B.
1120
- C.
1180
- D.
1020
Attempted by 7 students.
Show answer & explanation
Correct answer: A
CONCEPT
When a category is given as a percentage of a total, its count equals total × percentage ÷ 100. A subgroup count is found by subtracting the known subgroup from the category total.
APPLICATION
City C has 4500 × 28 ÷ 100 = 1260 teachers.
Female teachers in City C = 1260 − 600 = 660.
City B has 4500 × 16 ÷ 100 = 720 teachers.
Female teachers in City B = 720 − 400 = 320.
Adding City F male teachers gives 100 + 660 + 320 = 1080.
CROSS-CHECK
The components are non-negative and stay within their city totals: 100 ≤ 270, 660 ≤ 1260, and 320 ≤ 720. Therefore, the required total is 1080.