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

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Senior RC Moderator
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1178
Location: India
WE: General Management (Aerospace and Defense)
If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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20 Sep 2017, 15:26
Top Contributor
1
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Difficulty:

45% (medium)

Question Stats:

59% (00:44) correct 41% (00:59) wrong based on 90 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

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Joined: 22 May 2016
Posts: 1829
If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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20 Sep 2017, 16:03
1
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

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Manager
Joined: 21 Jul 2017
Posts: 138
Location: India
GMAT 1: 650 Q47 V33
GPA: 4
WE: Project Management (Education)
Re: If x is 150% greater than 200, x is what percent greater than 50% [#permalink]

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04 Oct 2017, 11:03
Highly doubtful this is a 700 - level question. Easy one!
Re: If x is 150% greater than 200, x is what percent greater than 50%   [#permalink] 04 Oct 2017, 11:03
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