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 difference between the total number of teachers in City-E and the number of female teachers in City-F?
Answer: B. 775 — ConceptA percentage distribution converts a category percentage into a count by multiplying the total by the percentage divided by 100. When one subgroup…
- A.
625
- B.
775
- C.
675
- D.
725
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
A percentage distribution converts a category percentage into a count by multiplying the total by the percentage divided by 100.
When one subgroup count is known, subtract it from the category total to obtain the complementary subgroup; then compare the required counts.
Application
City E has 21% of 4500 teachers, so its total is (21/100) × 4500 = 945.
City F has 6% of 4500 teachers, so its total is (6/100) × 4500 = 270.
City F has 100 male teachers, so its female-teacher count is 270 − 100 = 170.
The required difference is 945 − 170 = 775.
Cross-check
The city percentages add to 100%, confirming that the common total of 4500 is fully distributed.
For City F, 100 male teachers plus 170 female teachers gives 270, matching 6% of 4500.
Result
Therefore, the required difference is 775.