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 ratio of the number of male teachers in City-C to the number of female teachers in City-B?
Answer: C. 15:8 — ConceptA percentage converts a part of a total into a count: part = (percentage/100) × total. When a group is divided into male and female teachers, female…
- A.
11:15
- B.
15:11
- C.
15:8
- D.
8:15
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Show answer & explanation
Correct answer: C
Concept
A percentage converts a part of a total into a count: part = (percentage/100) × total.
When a group is divided into male and female teachers, female teachers = total teachers − male teachers. A ratio a:b is simplified by dividing both terms by their greatest common divisor.
Application
City B has 16% of 4500 teachers, so its total is (16/100) × 4500 = 720.
City B has 400 male teachers, so the number of female teachers is 720 − 400 = 320.
City C has 600 male teachers. Therefore the required ratio is 600:320.
Dividing both terms by 40 gives 15:8.
Cross-check
The quotient 600/320 equals 1.875, and 15/8 also equals 1.875.
Thus the simplified ratio is 15:8.