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If x is 150% greater than 200, x is what percent greater than 50%

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If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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New post 20 Sep 2017, 14:26
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Difficulty:

  55% (hard)

Question Stats:

59% (00:45) correct 41% (00:59) wrong based on 70 sessions

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If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0
(B) 20
(C) 50
(D) 100
(E) 200
[Reveal] Spoiler: OA

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Kudos [?]: 1606 [0], given: 282

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If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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New post 20 Sep 2017, 15:03
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Gnpth wrote:
If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0
(B) 20
(C) 50
(D) 100
(E) 200

x = 150 percent greater than 200

150 percent "greater than" = 2.5 as multiplier.

From Bunuel , somewhere here, I think, to remember the multiplier:

10 percent "greater than x" would be 1 + .10 = 1.10x. So turn 150 into a decimal multiplier, i.e., 1.5, and add 1 to get 2.5x

x = 2.5 * 200
x = 500

x is what percent greater than 50% of 500?

50 percent of 500 = .5 * 500 = 250

500 is what percent greater than 250?

\(\frac{(New - Old)}{Old}\) * 100

500 - 250 = 250/250 = 1 * 100
= 100 percent greater

Answer D

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Re: If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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New post 04 Oct 2017, 10:03
Highly doubtful this is a 700 - level question. Easy one! :)

Kudos [?]: 9 [0], given: 67

Re: If x is 150% greater than 200, x is what percent greater than 50%   [#permalink] 04 Oct 2017, 10:03
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If x is 150% greater than 200, x is what percent greater than 50%

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