Aptitude Discussion

Q. |
$30\%$ 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. |
$15\%$ |

✖ B. |
$20\%$ |

✔ C. |
$80\%$ |

✖ D. |
$70\%$ |

**Solution:**

Option(**C**) is correct

$20\%$ of the men are above the age of 50 years. $20\%$ of these men play football. Therefore, $20\%$ of $20\%$ or $4\%$ of the total men are football players above the age of 50 years.

20\% of the men are football players. Therefore, $16\%$ of the men are football players below the age of 50 years.

Therefore, the $\%$ of men who are football players and below the age of

\(50=\dfrac{16}{20}\times 100\)

**ABHIJEET**

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**Atta Hussain**

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if 20% play football means

20% = 100%

Out of 100% , 20 % are above 50 year age then remaining

100-20 =80%

**Fara**

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check this solution:

let suppose there are 100 men. according to data 70 men are less or equal to 5. 30 men are above 25.

question also states that 80 men are less or equal to 50.

It means 20 men are above 50.

from above 50 men 20% play football.

20% of 20 is 4. from total football players 4 men are above 50. remaining 16 are below or equal 50.

Now just check that 16 is what % of 20 : 16*100/20 = 80% is answer

**Xavi Shah**

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Statement is complete but Answer is wrong. 20% is the correct answer because 20% of 80% is 16% of the total. And We have already 4% from above 50 Years Age.

**Bhavik Bansal**

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The statement of the question do not state that 20% of the men are above 50 years of age. The question is incomplete...

Hey Bhavik,

I guess question states that, $80\%$ of the men are less than or equal to 50 years old.

Which in opinion means that, $20\%$ of the men are above 50 years of age.

I believe you have not read the question properly.

**Shelly**

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given that 20% of the men above the age of 50 play football but in solution u are using 20% of the men are football players.

let there be 100 men..

30 % are more than 25 means 30 men are more than 25

80 % are less than or equal to 50 means 80 men

total men below or equal to 50 are still 80..cuz it includes men from 25 or above also.. (80-50=30 makes no sense)

that means there are only two categories. i.e., 80 men below 50 and so 20 men above 50

20% of all men (80 above 50 and 20 below 50) play football..

80 x 20/100 = 16 and 20 x 20/100 = 4 .. total 20

(to check..we are correct so far cuz 20% of all 100 men play football means we should have got 20 anyways..)

16 men below 50 4 men above 50

% of men playing football below 50 = 16/20 x 100 = 80%