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: The ratio of number of girls enrolled in school B to that of the number of boys enrolled in D is
- A.
1 : 4
- B.
4 : 1
- C.
1 : 3
- D.
3 : 1
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Concept: In this two-column data-interpretation table, each school's "% of Total Students Enrolled" is a share of the overall total of 4500 students, and each school's "% of Girl Students Enrolled" is a share of the overall total of 2000 girl students — the two percentage columns apply to two different totals. To compare a girls count in one school with a boys count in another, each school's total-students count and girls count must first be worked out separately from its own row (against its own base total), and boys are then found as total students minus girls for that school.
Application: Reading school B's and school D's rows from the table:
School B: total students = 30% of 4500 = 1350; girls = 35% of 2000 = 700.
School D: total students = 15% of 4500 = 675; girls = 25% of 2000 = 500, so boys = 675 − 500 = 175.
Required ratio = girls in B : boys in D = 700 : 175, which simplifies (dividing both terms by 175) to 4 : 1.
Cross-check: Both percentage columns independently sum to 100% (20+30+25+15+10 and 15+35+12+25+13), confirming the table's percentages are consistent; and 175 × 4 = 700 exactly, confirming the simplified ratio.
Result: The ratio of girls enrolled in school B to boys enrolled in school D is 4 : 1.