The following table shows the percentage (%) distribution of total number of…
2022
The following table shows the percentage (%) distribution of total number of students and total number of girls studying in six colleges A-F. Total number of students and girls studying in all the colleges together are 60000 and 24000 respectively. Based on the data in the table, answer the questions 1-5:
College-wise Distribution of Students
College | Students (out of 60000) | Girls (out of 24000) |
|---|---|---|
A | 10% | 15% |
B | 9% | 12% |
C | 23% | 18% |
D | 18% | 14% |
E | 16% | 20% |
F | 24% | 21% |
The number of girls in College F is ________% more than the number of girls in College A.
Answer: C. 40 — ConceptTo find how much one quantity is greater than another in percentage terms, use the smaller reference quantity as the base. Percentage increase =…
- A.
25
- B.
30
- C.
40
- D.
50
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Concept
To find how much one quantity is greater than another in percentage terms, use the smaller reference quantity as the base.
Percentage increase = (increase / original quantity) × 100.
Application
Girls in College F = 21% of 24,000 = 5,040.
Girls in College A = 15% of 24,000 = 3,600.
Increase from College A to College F = 5,040 − 3,600 = 1,440.
Percentage increase = (1,440 / 3,600) × 100 = 40%.
Cross-check
The ratio of the two counts is 5,040 : 3,600 = 1.4 : 1, so College F has 140% of College A’s girls, which is 40% more.
Result
The number of girls in College F is 40% more than the number of girls in College A.