Percentage of %

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gmatblood: Master | Next Rank: 500 Posts; Posts: 489; Joined: Tue Jul 05, 2011 11:10 am; Thanked: 28 times; Followed by:5 members

Percentage of %

by gmatblood » Sat Nov 05, 2011 9:54 am

90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

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Source: Beat The GMAT — Problem Solving | Sat Nov 05, 2011 9:54 am

rijul007: Legendary Member; Posts: 588; Joined: Sun Oct 16, 2011 9:42 am; Location: New Delhi, India; Thanked: 130 times; Followed by:9 members; GMAT Score:720

by rijul007 » Sat Nov 05, 2011 10:01 am

(x/100)*(40/100)*x = 90
x^2 = 90000/4
x = 300/2 = 150

Option B

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Sat Nov 05, 2011 10:02 am

gmatblood wrote:90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

--> x% of total boys = 90
--> x% of 40% of x = 90
--> (x/100)*(40/100)*x = 90
--> xÂ² = 25*900
--> x = 5*30 = 150

The correct answer is B.

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vaibhavgupta: Master | Next Rank: 500 Posts; Posts: 416; Joined: Tue Aug 30, 2011 2:18 pm; Location: Delhi, India; Thanked: 13 times; Followed by:9 members

by vaibhavgupta » Sat Nov 05, 2011 10:39 am

gmatblood wrote:90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

125

150

225

250

500

B it is! just put the options into the question!