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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If Ken’s salary were 20% higher, it would be 20% less than  Question banks Downloads My Bookmarks Reviews Important topics
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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: 105

Kudos [?]: 1783 , given: 397

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

Question Stats: 90% (00:43) correct 10% (00:26) wrong based on 10 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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Sandy
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Joined: 29 May 2018
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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink]
1
KUDOS
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
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink]
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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Director Joined: 09 Nov 2018
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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink]
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

$$K$$ - Ken's salary
$$L$$ - Lorena's salary and $$L=60,000$$

$$1.2*K=0.8*L$$
$$K=\frac{2}{3}*L=\frac{2}{3}*60,000=40,000$$. Re: If Ken’s salary were 20% higher, it would be 20% less than   [#permalink] 15 Jan 2019, 16:46
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