Percentages - Quant/Math - CAT 2013
Question 4 the day:
August 20, 2002
The question for the day is from the topic of Percentages.
- 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?
| (1) |
15% |
|
(2) |
20% |
|
(3) |
80% |
|
(4) |
70% |
Correct Answer - (3)
Solution:
20% of the men are above the age of 50 years. 20% of these men play football. Therefore, 20% of 20% of 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 =  = 80%
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