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

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

Question Stats:

83% (00:48) correct 16% (01:36) wrong based on 6 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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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4473
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 80

Kudos [?]: 1478 [0], given: 346

CAT Tests
Re: The number that is 50% greater than 60 is what percent less [#permalink] New post 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=\((\frac{30}{120} \times 100)=25\%\)
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Re: The number that is 50% greater than 60 is what percent less [#permalink] New post 17 Jul 2018, 08:14
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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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