Number of female participants from Country D is ______ % of the number of male participants from Country A.
- AOption (a)
21
- BOption (b)
24
- COption (c)
28
- DOption (d)
31
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Correct answer
28
Why this answer is correct
Calculation:
Let's say 15x is the number of male participants and 7x is the
number of female participants.
15x + 7x = 1100
22x = 1100
x = 1100 / 22 = 50
So, the number of male participants = 15x = 15 × 50 = 750
And the number of female participants = 7x = 7 × 50 = 350
The number of sportspersons from Country A is 21% of 1100 = 0.21
× 1100 = 231
The number of male sportspersons from Country A is 20% of 750 =
0.20 × 750 = 150
The number of sportspersons from Country D is 12% of 1100 = 0.12
× 1100 = 132
Given that the number of male sportspersons from Country D is also
12% of 750 = 0.12 × 750 = 90
So, number of female sportspersons from Country D = 132 - 90 = 42
Now, let's find the percentage of female participants from Country D
with respect to male participants from Country A.
Percentage = (Number of female participants from Country D /
Number of male participants from Country A) × 100
Percentage = (42 / 150) × 100 = 28
So, the number of female participants from Country D is 28% of the
number of male participants from Country A.
Therefore, the answer is option 3) 28.