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If Ken’s salary were 20% higher, it would be 20% less than
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02 Jun 2018, 03:32
02 Jun 2018, 03:32
Expert Reply
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Question Stats:
83% (00:57) correct
16% (00:55) wrong based on 53 sessions
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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
(A) $36,000
(B) $40,000
(C) $42,500
(D) $42,850
(E) $45,000
Re: If Ken’s salary were 20% higher, it would be 20% less than
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10 Jun 2018, 10:51
10 Jun 2018, 10:51
2
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
(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
Re: If Ken’s salary were 20% higher, it would be 20% less than
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13 Jun 2018, 16:31
13 Jun 2018, 16:31
Expert Reply
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.
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.
