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 |
The number of female teachers in City-D is approximately what percent of the total number of teachers in City-A?
Answer: D. 91 — ConceptWhen a category’s percentage share of a total is known, its count equals total × percentage ÷ 100. A subgroup count is found by subtracting the stated…
- A.
75
- B.
81
- C.
95
- D.
91
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
When a category’s percentage share of a total is known, its count equals total × percentage ÷ 100.
A subgroup count is found by subtracting the stated subgroup from the category total. To compare a part with a base, use (part ÷ base) × 100.
Application
Total teachers in City D = 15% of 4500 = 4500 × 15 ÷ 100 = 675.
Female teachers in City D = 675 − 100 = 575.
Total teachers in City A = 14% of 4500 = 4500 × 14 ÷ 100 = 630.
Required percentage = (575 ÷ 630) × 100 = 91.27%, which is approximately 91%.
Cross-check
Taking 91% of City A’s 630 teachers gives 0.91 × 630 = 573.3, which is close to the computed 575 female teachers in City D. Therefore, the required approximate percentage is 91%.