The number of participants from China in event E2 is _________% more than the…
2024
The number of participants from China in event E2 is _________% more than the number of female participants from the US in event E3.
Answer: D. 132 — ConceptWhen a quantity A is p% more than a reference quantity B, the percentage increase is calculated relative to B, not A. Use: percentage more = ((A − B) /…
- A.
120
- B.
124
- C.
128
- D.
132
Show answer & explanation
Correct answer: D
Concept
When a quantity A is p% more than a reference quantity B, the percentage increase is calculated relative to B, not A.
Use: percentage more = ((A − B) / B) × 100. If a total is divided in the ratio m : f, the female share is total × f / (m + f).
Application
For the US in E3, the total is 1500 and the male-to-female ratio is 2 : 1. Therefore, the female share is 1500 × 1 / (2 + 1) = 500.
For China in E2, the table gives a total of 1160 participants.
The increase over the reference value is 1160 − 500 = 660.
Percentage more = (660 / 500) × 100 = 132%.
Cross-check
A 132% increase on 500 is 500 + 1.32 × 500 = 500 + 660 = 1160, which reproduces China’s E2 total.
Result
Therefore, the required percentage is 132%.