Percentages - Quant/Math - CAT 2007
Question 4 the day:
August 20, 2002
The question for the day is from the topic Percentages.
Question:
- 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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