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30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
  • a)
    60%
  • b)
    70%
  • c)
    80%
  • d)
    90%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
30% of the men are more than 25 years old and 80% of the men are less ...
Let total number of men = 100
Then
80 men are less than or equal to 50 years old
(Since 80% of the men are less than or equal to 50 years old)
=> 20 men are above 50 years old (Since we assumed total number of men as 100)
20% of the men above the age of 50 play football
⇒ Number of men above the age of 50 who play football = 20*20/100 = 4
Number of men who play football = 20 (Since 20% of all men play football)
Percentage of men who play football above the age of 50 = 4/20*100 =20%
=>Percentage of men who play football less than or equal to the age 50 = 100%−20%=80%

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Most Upvoted Answer
30% of the men are more than 25 years old and 80% of the men are less ...
By general observation, 
Let the total number of men playing football  be 100
No. of men who are above the age of 50 years playing football are 20
Therefore no. of men who are less than age of 50 years playing football will be 100-20=80
Therefore, ans is 80%
Community Answer
30% of the men are more than 25 years old and 80% of the men are less ...
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30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?a)60%b)70%c)80%d)90%Correct answer is option 'C'. Can you explain this answer?
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