The following table shows the percentage (%) distribution of number of…
2022
The following table shows the percentage (%) distribution of number of students qualifying an Entrance Exam from seven schools A-G in the years 2020 and 2021. The number of students qualifying from School G in 2020 and 2021 are 90 and 135, respectively. Based on the data in the table, answer the questions 1-5:
School | Distribution (%) of Qualified students | |
|---|---|---|
2020 | 2021 | |
A | 21% | 23% |
B | 14% | 8% |
C | 16% | 11% |
D | 10% | 14% |
E | 18% | 16% |
F | 9% | 13% |
G | 12% | 15% |
The percentage of the number of students qualifying from Schools A-G together in 2021 with reference to 2020 is
Answer: B. 120% — ConceptIf a category represents p% of a total T and its count is c, then T = c × 100 / p. To express a later total as a percentage of an earlier total,…
- A.
140%
- B.
120%
- C.
135%
- D.
112%
Attempted by 4 students.
Show answer & explanation
Correct answer: B
Concept
If a category represents p% of a total T and its count is c, then T = c × 100 / p.
To express a later total as a percentage of an earlier total, compute (later total / earlier total) × 100.
Application
For 2020, School G is 12% of the total and represents 90 students, so the total is 90 × 100 / 12 = 750.
For 2021, School G is 15% of the total and represents 135 students, so the total is 135 × 100 / 15 = 900.
Therefore, the required comparison is (900 / 750) × 100 = 120%.
Cross-check
Independently, the totals are in the ratio (135 / 0.15) : (90 / 0.12) = 900 : 750 = 6 : 5. Thus the 2021 total is 6/5 of the 2020 total, which is 120%.
Result
The required percentage is 120%.