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kaplan problem of games

by pradeepkaushal9518 » Sat May 01, 2010 5:11 am
in a certain school 50 percent of all male students and 60 percent of all female students play a varsity sports . if 40 percent of the students at the school are male what percent of the entire student body do not play a varsity sport?

1. 44%
2.50 %
3.55%
4.56%
5.60%
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by Rahul@gurome » Sat May 01, 2010 5:32 am
Let the total number of students at school = x
Number of male students = 40% of x = 0.4x
Number of female students = x - 0.4x = 0.6x
Number of male students who play a varsity sports = 50% of 0.4x = 0.2x
Number of female students who play a varsity sports = 60% of 0.6x = 0.36x
Number of male and female students who play a varsity sport = 0.2x + 0.36x = 0.56x
Therefore, number of male and female students who do not play a varsity sport = x - 0.56x = 0.44x, which is 44% of the total students.

The correct answer is (A).
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by pradeepkaushal9518 » Sat May 01, 2010 5:47 am
thanks rahul
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by harshavardhanc » Sat May 01, 2010 6:00 am
pradeepkaushal9518 wrote:in a certain school 50 percent of all male students and 60 percent of all female students play a varsity sports . if 40 percent of the students at the school are male what percent of the entire student body do not play a varsity sport?

1. 44%
2.50 %
3.55%
4.56%
5.60%
total students 100 : males 40 , females 60

non-varsity males 20(half) and non-varsity females 2/5th(40%) of 60=24 . Hence, total non-varsity = 20 + 24 = 44%.
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by pradeepkaushal9518 » Sat May 01, 2010 6:09 am
oh harsh its really short cut taking 100 for percentage problems are really helpful
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by harshavardhanc » Sat May 01, 2010 6:15 am
pradeepkaushal9518 wrote:oh harsh its really short cut taking 100 for percentage problems are really helpful
yes, that's what per-cent means : for every hundred. ;) :)
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Harsha
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by Carcass » Wed Nov 16, 2011 2:52 pm
the level of this question ?? is 700 ??

Thanks :)
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by MBA.Aspirant » Wed Nov 16, 2011 3:08 pm
pradeepkaushal9518 wrote:in a certain school 50 percent of all male students and 60 percent of all female students play a varsity sports . if 40 percent of the students at the school are male what percent of the entire student body do not play a varsity sport?

1. 44%
2.50 %
3.55%
4.56%
5.60%
let school = 100

males = 40, females = 60

1/2 of 40 men play = 20

60% of 60 women play = 36

Total not playing = 100 - (20+36) = 44

% = 44/100 = 44%
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