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

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If x is 150% greater than 200, x is what percent greater [#permalink] New post 02 Jun 2018, 03:55
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Question Stats:

62% (01:24) correct 37% (00:19) wrong based on 8 sessions
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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Re: If x is 150% greater than 200, x is what percent greater [#permalink] New post 07 Jun 2018, 23:30
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sandy 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 = 200 + 150%(200) = 500

now x = what % ( 50% (500))

sub x = 500 in above

500 = what % ( 250).

500 is twice of 250. So now we have 250 as value and we need 250 more. So 100% is needed.

Option D.
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Re: If x is 150% greater than 200, x is what percent greater [#permalink] New post 12 Jun 2018, 10:01
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sandy 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


If x is 150% greater than 200, then x is 250% of 200, or 2.5 x 200 = 500. Since 50% of 500 = 0.5 x 500 = 250, then x = 500 is (500 - 250)/250 = 100 percent greater than 250.

Answer: D
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Re: If x is 150% greater than 200, x is what percent greater [#permalink] New post 14 Jul 2018, 04:51
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Explanation

“150% greater than 200” means 150% of 200, or 300, added back to 200. This is the not the same figure as 150% of 200. Thus, 150% greater than 200 is 200 + (200)(1.5) = 500.

50% of 500 = 250. Translate the question as “500 is what percent greater than 250?” Since 500 is twice 250, it is 100% greater than 250.
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Re: If x is 150% greater than 200, x is what percent greater [#permalink] New post 17 Jul 2018, 10:33
sandy 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



Note :

1. 150% greater means 250% of 200.

250% pf 200

(250/100)*200

= 500.


2. 50% of 500

=250

Difference = 500 -250 = 250.

Clearly 100% grater than 250.
Re: If x is 150% greater than 200, x is what percent greater   [#permalink] 17 Jul 2018, 10:33
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