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

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sandy
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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
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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
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B
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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
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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
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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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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink] New post   15 Jan 2019, 16:46
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 \(L=60,000\)

\(1.2*K=0.8*L\)
\(K=\frac{2}{3}*L=\frac{2}{3}*60,000=40,000\).

Answer: B
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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink] New post   13 Jul 2021, 11:29
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If Ken’s salary were 20% higher, it would be 20% less than [#permalink]
13 Jul 2021, 11:29
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