The number of female participants from India in event E1 is _________ % less…
2024
The number of female participants from India in event E1 is _________ % less than the number of female participants from Germany in event E3.
Answer: B. 36 — ConceptWhen a total T is divided in the ratio of males to females m : f, the female count is T × f ÷ (m + f). If quantity A is less than reference quantity B,…
- A.
40
- B.
36
- C.
28
- D.
22
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Concept
When a total T is divided in the ratio of males to females m : f, the female count is T × f ÷ (m + f).
If quantity A is less than reference quantity B, the percentage decrease is (B − A) ÷ B × 100.
Application
For India in E1, the total is 480 and M : F = 2 : 1. Female participants = 480 × 1 ÷ (2 + 1) = 160.
For Germany in E3, the total is 750 and M : F = 2 : 1. Female participants = 750 × 1 ÷ (2 + 1) = 250.
The difference is 250 − 160 = 90 participants.
Percentage decrease = 90 ÷ 250 × 100 = 36%.
Cross-check
The ratio 160 ÷ 250 = 0.64, so the India E1 count is 64% of the Germany E3 count. Therefore it is 100% − 64% = 36% less, and the required value is 36%.