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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote If y is 80% greater than x, than x is what % less than y? This topic has 3 expert replies and 0 member replies If y is 80% greater than x, than x is what % less than y? If y is 80% greater than x, than x is what % less than y? (A) 20 (B) 25 (C) 33 1/3 (D) 44 4/9 (E) 80 OA: D Experts, please share an approach in solving this problem. Thank you GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 ardz24 wrote: If y is 80% greater than x, than x is what % less than y? (A) 20 (B) 25 (C) 33 1/3 (D) 44 4/9 (E) 80 OA: D Experts, please share an approach in solving this problem. Thank you We could pick a simple number for x. Say x = 100. If y is 80% greater, y = 180. Now we want to know how much less 100 is than 180. If we plug our values into our trusty % change = (New-Old)/Old * 100 formula, we get (180-100)/180 = 80/180 = (4/9) * 100 = 44.44%. The answer is D (And once we see that we need to find 80/180, it's clear that 80 is too big, as that would be 80/100, and 33 1/3 is too small, as that would be 60/180, so we can derive that the answer must be D without doing the math. ) _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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Hi ardz24,

This question is perfect for TESTing VALUES (the approach used by David). You can also approach it algebraically (although either way you will also need to use the Percentage Change Formula).

We're told that Y is 80% greater than X....
Y = 1.8X

We're asked what percent LESS is X than Y, so we're asked to compare X to 1.8X

Percent Change = (Difference)/(Original) = .8X/1.8X = 8X/18X = 8/18 = 4/9 = 44 4/9%

GMAT assassins aren't born, they're made,
Rich

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GMAT/MBA Expert

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ardz24 wrote:
If y is 80% greater than x, than x is what % less than y?

(A) 20
(B) 25
(C) 33 1/3
(D) 44 4/9
(E) 80
We can create the following equation:

y = 1.8x

Thus:

(x - y)/y * 100 = (x - 1.8x)/1.8x * 100 = -0.8x/1.8x * 100 = -8/18 * 100 = -4/9 * 100 = -44 4/9

We see that x is 44 4/9 percent less than y.

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