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

[BTGmoderatorDC]

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

[Jay@ManhattanReview]

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 = 100 + 80% of 100 = 100 + 80 = 80

Thus, x (= 100) is 80 less than y (= 180).

Required percent = (80/180)*100% = 44 4/9%

The correct answer: D

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

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

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