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

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

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

by Jay@ManhattanReview » Thu Feb 27, 2020 8:53 pm

BTGmoderatorDC wrote: ↑
Thu Feb 27, 2020 6:18 pm
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

Source: Magoosh

Say x = 100; thus, y = 180.

Thus, x is 80 less than y (= 180), or x is (80/180)*100% = 44 4/9% less than y

The correct answer: D

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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

by Scott@TargetTestPrep » Fri Mar 06, 2020 7:58 am

BTGmoderatorDC wrote: ↑
Thu Feb 27, 2020 6:18 pm
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

Source: Magoosh

Solution:

We can let y = 1.8x; thus:

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

Alternate Solution:

If we let x = 10, then y is 1.8x = 18. Thus, x is 8 less than y. As a percent less than measure, we see that x is 8/18 x 100% = 44 4/9% less than y.

Answer: D

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