30% of the men are over the age of 25 years, and 80% are under or equal to 50 years of age. Football is played by 20% of all men. What percentage of football players are under or equal to 50 years of age, if 20% of men over the age of 50 years play football?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 80%
Let the total number of man = 100
Then
80 men are less than or equal to 50 years old.
So, 20 men are above 50 years old
20% of men above the age 50 years play football
Number of men above 50 years who play football = (20 × 20)/100 = 4
Number of men above who play football = 20
Percentage of men who play football above the ag of 50 years = ( 4 × 100)/20 = 20%
Percentage of men who play football less than or equal to the age of 50 years = 100% - 20% = 80%