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by ddm » Mon Sep 08, 2008 1:36 pm
If four fifths of one third of 75 % of a number is 27. What is the 2/3 of the number?

(A) 75

(B) 45

(C) 60

(D) 90

(E) 135
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by VP_Jim » Mon Sep 08, 2008 3:40 pm
This one is easiest if you convert everything to fractions:

(4/5)(1/3)(3/4) = 1/5

So, (1/5)*x=27

Solve for x, which = 135.

Now, just calculate (2/3)*135=90, so the answer is D (90).
Jim S. | GMAT Instructor | Veritas Prep
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