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If $40,000 less than John’s salary is $5,000 more than 25% more than h

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Magoosh GMAT Instructor
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If $40,000 less than John’s salary is $5,000 more than 25% more than h [#permalink]

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New post 02 May 2016, 16:41
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Question Stats:

83% (01:41) correct 17% (02:24) wrong based on 58 sessions

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If $40,000 less than John’s salary is $5,000 more than 25% more than half his salary, then what is John’s salary?

(A) $80,000

(B) $100,000

(C) $120,000

(D) $135,000

(E) $140,000


Word problems can be tricky. For a detailed discussion of how to get from words to math, as well as the OE for this problem, see:
Intro to GMAT Word Problems, Part 1: Translating from Word to Math

Mike :-)
[Reveal] Spoiler: OA

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Kudos [?]: 8424 [0], given: 102

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Joined: 02 Aug 2009
Posts: 4967

Kudos [?]: 5453 [0], given: 112

Re: If $40,000 less than John’s salary is $5,000 more than 25% more than h [#permalink]

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New post 02 May 2016, 19:56
mikemcgarry wrote:
If $40,000 less than John’s salary is $5,000 more than 25% more than half his salary, then what is John’s salary?

(A) $80,000

(B) $100,000

(C) $120,000

(D) $135,000

(E) $140,000


Word problems can be tricky. For a detailed discussion of how to get from words to math, as well as the OE for this problem, see:
Intro to GMAT Word Problems, Part 1: Translating from Word to Math

Mike :-)


hi,

the BEST way to move here is to move step wise..
$40,000 less than John’s salary = J-40000... (i)

$5,000 more than 25% more than half his salary = \(5000 + 1.25 *\frac{1}{2}*J\)... (ii)

as per Q (i) = (ii)..
so \(J-40000 = 5000+ \frac{125}{100} *\frac{J}{2}\)..
so \(J-\frac{5}{8}*J = 45000\)..
\(\frac{3}{8}* J = 45000\)..
J = 120000

C
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Kudos [?]: 5453 [0], given: 112

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Re: If $40,000 less than John’s salary is $5,000 more than 25% more than h [#permalink]

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New post 26 Sep 2017, 02:24
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Kudos [?]: 273 [0], given: 0

Re: If $40,000 less than John’s salary is $5,000 more than 25% more than h   [#permalink] 26 Sep 2017, 02:24
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