PERCENTAGE PROBLEM

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PERCENTAGE PROBLEM

by romitvsingh » Sun Oct 16, 2011 8:17 am
If 18 is 15 percent of 30 percent of a certain number, what is the number?

A) 9
B) 36
C) 40
D) 81
E) 400

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by shankar.ashwin » Sun Oct 16, 2011 8:25 am
(15/100)*(30/100)*X = 18
X=400 E

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by Brent@GMATPrepNow » Sun Oct 16, 2011 8:25 am
romitvsingh wrote:If 18 is 15 percent of 30 percent of a certain number, what is the number?

A) 9
B) 36
C) 40
D) 81
E) 400
A quick approach here is to plug in numbers, beginning with C.

C. Is it true that 18 is 15 percent of 30 percent 40?
Well, 30% of 40 is 12, and 15% of 12 is definitely not 18
So, the answer is not C (40). In fact, we need a starting number that is greater than 40.

D. Is it true that 18 is 15 percent of 30 percent 81?
Well, 30% of 81 is less than 30, and 15% of 30 is definitely not 18
So, the answer is not D (81). In fact, we need a starting number that is greater than 81.

From here, we can select E, without even checking it.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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