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 percent rise in the number of students qualifying from School D from 2020 to 2021 is
Answer: C. 68% — CONCEPTIf a category is p% of a total T, its count is (p/100) × T. Percentage rise from an old value O to a new value N is ((N − O)/O) × 100. APPLICATIONIn…
- A.
60%
- B.
63%
- C.
68%
- D.
72%
Attempted by 3 students.
Show answer & explanation
Correct answer: C
CONCEPT
If a category is p% of a total T, its count is (p/100) × T. Percentage rise from an old value O to a new value N is ((N − O)/O) × 100.
APPLICATION
In 2020, School G represents 12% and has 90 students, so the total is 90 × 100/12 = 750. School D then has 10% of 750 = 75 students.
In 2021, School G represents 15% and has 135 students, so the total is 135 × 100/15 = 900. School D then has 14% of 900 = 126 students.
The increase for School D is 126 − 75 = 51, so the percentage rise is (51/75) × 100 = 68%.
CROSS-CHECK
A 68% rise on 75 gives 75 × 1.68 = 126, matching the 2021 count. Therefore, the percent rise is 68%.