The following table gives the percentage of total students and also girl…
2020
The following table gives the percentage of total students and also girl students enrolled in five schools (A-E). The total number of students is 4500, while the total number of girl students is 2000. Based on the data of the table, answer the questions that follow.
School Name | % of Total Students Enrolled | % of Girl Students Enrolled |
|---|---|---|
A | 20% | 15% |
B | 30% | 35% |
C | 25% | 12% |
D | 15% | 25% |
E | 10% | 13% |
Ques: If 10% of the girls enrolled in C change their school to E, then what will be the aggregate number of girls then in E?
- A.
214
- B.
234
- C.
274
- D.
284
Attempted by 1 students.
Show answer & explanation
Correct answer: D
In a two-base percentage table, each row's percentage is measured against its own base -- 'total students' percentages against the total-student count, 'girl students' percentages against the total-girl count -- and must never be applied to the other base. When a fraction of one school's sub-group moves to another school, that fraction is calculated from the source school's own count, and the result is added to the destination school's own count.
Applying this to the given table:
School C's girl count = 12% of the total 2000 girls = 240 girls.
School E's girl count = 13% of the total 2000 girls = 260 girls.
The girls shifting out of C = 10% of C's own girl count = 10% of 240 = 24 girls.
Adding the shifted girls to E's existing count: 260 + 24 = 284.
Cross-check by conservation of the total: the five schools' girl percentages already sum to 100% of 2000 (15% + 35% + 12% + 25% + 13%), i.e. 300 + 700 + 240 + 500 + 260 = 2000. After the shift, C falls to 240 minus 24 = 216 while E rises to 260 + 24 = 284, and A, B, D stay at 300, 700, 500; re-summing 300 + 700 + 216 + 500 + 284 still totals 2000, confirming the arithmetic is internally consistent.
So the aggregate number of girls in school E after the shift is 284.