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One month, the total expense in Mark's candy store increased by 12

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One month, the total expense in Mark's candy store increased by 12  [#permalink]

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New post 26 Dec 2018, 22:22
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One month, the total expense in Mark's candy store increased by 12 percent. Mark's total expense is made up of only two components: store maintenance expense and wage expense. If his maintenance expense increased 14 percent and his wage expense increased 7.5 percent, what was the ratio of his maintenance expense to his overall expense for the month before the increase?
A) 9 to 13
B)11 to 15
C) 4 to 5
D) 11 to 13
E) 13 to 15

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Re: One month, the total expense in Mark's candy store increased by 12  [#permalink]

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New post 26 Dec 2018, 22:54
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(Total increase - wage increase)/(maintenance increase - wage increase) = (12-7.5)/(14-7.5)= 4.5/6.5 which converts to 9/13

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Re: One month, the total expense in Mark's candy store increased by 12  [#permalink]

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New post 27 Dec 2018, 22:56
Hey Bunuel,
Could you please help me out how to solve this one with in less than 2 min.
Also what should be the proper approach to solve these kind of questions.
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Re: One month, the total expense in Mark's candy store increased by 12  [#permalink]

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New post 26 Jan 2019, 11:31
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maintenance expense: m
wage expense: w
total expense: m+w

\(12(m+w)=14m+7.5w\)
\(14m-12m=12w-7.5w\)
\(2m=4.5w\)
\(m=\frac{9}{4}w\)

Formula for the fraction of m to total expense:
\(\frac{m}{(m+w)}\)

Plug in \(m=\frac{9}{4}w\):
\((\frac{9}{4}w)/(\frac{9}{4}w+w)=(\frac{9}{4}w)/(\frac{13}{4}w)=\frac{9}{4}*\frac{4}{13}=\frac{9}{13}\)
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Re: One month, the total expense in Mark's candy store increased by 12  [#permalink]

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New post 10 Jun 2020, 05:57
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Re: One month, the total expense in Mark's candy store increased by 12   [#permalink] 10 Jun 2020, 05:57

One month, the total expense in Mark's candy store increased by 12

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