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Retired Moderator Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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The number that is 50% greater than 60 is what percent less [#permalink]
Expert's post 00:00

Question Stats: 92% (01:06) correct 8% (00:48) wrong based on 25 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

_________________

Sandy
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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3036 , given: 394

Re: The number that is 50% greater than 60 is what percent less [#permalink]
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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Try our free Online GRE Test Manager  Joined: 06 Jun 2018
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Re: The number that is 50% greater than 60 is what percent less [#permalink]
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% Re: The number that is 50% greater than 60 is what percent less   [#permalink] 17 Jul 2018, 08:14
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