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% |
Number of students qualifying from Schools E and G together in 2020 is ______ % of the number of students qualifying from School B in 2021.
Answer: D. 312.5 — CONCEPTA percentage distribution converts a category share into a count by multiplying the total by the percentage divided by 100. To express one count as a…
- A.
188.5
- B.
247.5
- C.
342.5
- D.
312.5
Attempted by 1 students.
Show answer & explanation
Correct answer: D
CONCEPT
A percentage distribution converts a category share into a count by multiplying the total by the percentage divided by 100.
To express one count as a percentage of another, divide the first count by the comparison count and multiply by 100.
APPLICATION
Because 90 students from School G are 12% of the 2020 total, the 2020 total is 90 × 100 ÷ 12 = 750.
School E accounts for 18% of 750, so its 2020 count is 18 × 750 ÷ 100 = 135.
Thus, the 2020 count for Schools E and G together is 135 + 90 = 225.
Because 135 students from School G are 15% of the 2021 total, the 2021 total is 135 × 100 ÷ 15 = 900.
School B accounts for 8% of 900, so its 2021 count is 8 × 900 ÷ 100 = 72.
The required percentage is 225 ÷ 72 × 100 = 312.5%.
CROSS-CHECK
Taking 312.5% of 72 gives 72 × 3.125 = 225, which reproduces the combined 2020 count for Schools E and G.
Therefore, the result is 312.5%.