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

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Bunuel
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If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   04 Nov 2019, 04:14
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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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D
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CrackverbalGMAT
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   22 Nov 2020, 07:57
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By the given conditions x=2.5 * 200 =500
Let y= 50% of 500 = 50/100*500 = 250
Hence ,x is more than y as a percentage by 500-250/250 *100 =100% (D)

Concept: Multiplicative factors
If a number x is increased by 30%,the new number is (100+30) /100 times the old number x=1.3x
If a number x is increased by 5%,the new number is (100+5) /100 times the old number x=1.05x
If a number x is increased by 150%,the new number is (100+150) /100 times the old number x=2.5x
The same technique is used for a decrease by changing the + to a - with the 100.
Hope thus helps. Keep studying ! :)
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   04 Nov 2019, 04:23
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D
X=250%200 = 500
50% of 500 = 250

Ans = [(500-250)/250 ]% =100 = D

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If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   04 Nov 2019, 04:28
given

x is 150% greater than 200
x=2.5*200 ; 500
snd
50% of 500 ; 250
so x is ; 100% greater than 250
IMO D

Bunuel 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


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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   22 Nov 2020, 08:42
Bunuel 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


Are You Up For the Challenge: 700 Level Questions

\(x = \frac{250}{100}*200 = 500\)

\(50\)% of \(500 = 250\)

Thus, x is 100% greater than 50% of 500, Answer must be (D)
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   22 Nov 2020, 10:07
Asked: If x is 150% greater than 200, x is what percent greater than 50% of 500?

x = 150%*200 + 200 = 500
50% 0f 500 = 250
x/250 = 200% : 100% greater than 50% of 500

IMO D
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   13 Jul 2022, 03:49
ShankSouljaBoi wrote:
D
X=250%200 = 500
50% of 500 = 250

Ans = [(500-250)/250 ]% =100 = D

Posted from my mobile device


the 250% you mean 150%?
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink] New post   25 Oct 2023, 02:06
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Re: If x is 150% greater than 200, x is what percent greater than 50% of [#permalink]
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