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If Ken’s salary were 20% higher, it would be 20% less than

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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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If Ken’s salary were 20% higher, it would be 20% less than [#permalink] New post 02 Jun 2018, 03:32
Expert's post
00:00

Question Stats:

85% (00:31) correct 14% (00:26) wrong based on 7 sessions
If Ken’s salary were 20% higher, it would be 20% less than Lorena’s. If Lorena’s salary is $60,000, what is Ken’s salary?

(A) $36,000
(B) $40,000
(C) $42,500
(D) $42,850
(E) $45,000
[Reveal] Spoiler: OA

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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink] New post 10 Jun 2018, 10:51
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sandy wrote:
If Ken’s salary were 20% higher, it would be 20% less than Lorena’s. If Lorena’s salary is $60,000, what is Ken’s salary?

(A) $36,000
(B) $40,000
(C) $42,500
(D) $42,850
(E) $45,000


L = 60k take just 60

K = 0.8(60) = 48 ( Ken's salary when considered 20% less than Lorena's)

48 = 1.2x ( Ken's salary if it 20% higher)

x = 40
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink] New post 13 Jun 2018, 16:31
Expert's post
Explanation

The question asks for Ken’s salary, so set a variable: call Ken’s salary k. Lorena’s salary is $60,000. Now, translate the equation in the first sentence.


“If Ken’s salary were 20% higher” can be translated as Ken’s salary + 20% of Ken’s salary, or k + 0.2k.

“It would be 20% less than Lorena’s” can be translated as (Lorena’s salary – 20% of Lorena’s salary), or 60,000 – (0.2)(60,000). This is equivalent to (0.8)(60,000). Now solve:

\(1.2k = 0.8(60,000)\)
\(1.2k = 48,000\)
\(k = 40,000\)

Ken’s salary is $40,000.
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Sandy
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Re: If Ken’s salary were 20% higher, it would be 20% less than   [#permalink] 13 Jun 2018, 16:31
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