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 average of the number of boys studying in Colleges A, B and C is
Answer: D. 4800 — ConceptTo find the count of a subgroup from a percentage distribution, multiply the overall total by the given percentage. The number of boys in a college…
- A.
4900
- B.
4700
- C.
4400
- D.
4800
Attempted by 3 students.
Show answer & explanation
Correct answer: D
Concept
To find the count of a subgroup from a percentage distribution, multiply the overall total by the given percentage.
The number of boys in a college equals its total students minus its girls, and the average equals the sum of the required counts divided by the number of colleges.
Application
College A has 10% of 60,000 = 6,000 students and 15% of 24,000 = 3,600 girls, so it has 6,000 - 3,600 = 2,400 boys.
College B has 9% of 60,000 = 5,400 students and 12% of 24,000 = 2,880 girls, so it has 5,400 - 2,880 = 2,520 boys.
College C has 23% of 60,000 = 13,800 students and 18% of 24,000 = 4,320 girls, so it has 13,800 - 4,320 = 9,480 boys.
The total number of boys in A, B and C is 2,400 + 2,520 + 9,480 = 14,400. Therefore, the average is 14,400 / 3 = 4,800 boys.
Cross-check
Multiplying the average 4,800 by the three colleges gives 14,400, which matches the sum of the three independently computed boy counts.