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# The number that is 50% greater than 60 is what percent less

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
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The number that is 50% greater than 60 is what percent less [#permalink]  02 Jun 2018, 03:37
Expert's post
00:00

Question Stats:

77% (00:47) correct 22% (00:48) wrong based on 9 sessions
The number that is 50% greater than 60 is what percent less than the number that is 20% less than 150?

(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1820 [0], given: 397

Re: The number that is 50% greater than 60 is what percent less [#permalink]  11 Jul 2018, 13:34
Expert's post
Explanation

Rather than trying to write out the whole statement as math, note that “the number that is 50% greater than 60” can be calculated: 1.5(60) = 90. Similarly, “the number that is 20% less than 150” is 0.8(150) = 120. The question can be rephrased as “90 is what percent less than 120?” Use the percent change formula. Since the question specifies a “percent less,” the “original” number is 120:

Percent Change=$$(\frac{Difference}{original} \times 100)$$

Percent Change=$$(\frac{30}{120} \times 100)=25\%$$
_________________

Sandy
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Joined: 06 Jun 2018
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Re: The number that is 50% greater than 60 is what percent less [#permalink]  17 Jul 2018, 08:14
1
KUDOS
sandy wrote:
The number that is 50% greater than 60 is what percent less than the number that is 20% less than 150?

(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%

Workings :

50% grater than 60

= 150% of 60

= (150/100)* 60

= 90

20% less than 150

80% of 150

= (80/100)*100

= 120

Difference = 120 - 90 = 30

Required % :

(30/120)*100

= 25%

The best answer is E.
Re: The number that is 50% greater than 60 is what percent less   [#permalink] 17 Jul 2018, 08:14
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# The number that is 50% greater than 60 is what percent less

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