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# A woman spent 5/8 of her weekly salary on rent and 1/3 of the remainde

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
A woman spent 5/8 of her weekly salary on rent and 1/3 of the remainde  [#permalink]

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19 Aug 2018, 09:16
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Difficulty:

15% (low)

Question Stats:

84% (01:15) correct 16% (02:47) wrong based on 23 sessions

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A woman spent $$\frac{5}{8}$$ of her weekly salary on rent and $$\frac{1}{3}$$ of the remainder on food, leaving $40 available for other expenses. What is the woman’s weekly salary? (A)$160
(B) $192 (C)$216
(D) $240 (E)$256

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Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A woman spent 5/8 of her weekly salary on rent and 1/3 of the remainde  [#permalink]

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19 Aug 2018, 09:30
Let the salary be X.
$$\frac{5}{8}$$ on Rent.
Remaining is $$\frac{3}{8}$$. she'll spend $$\frac{1}{3}$$ of the remaining on food. So, $$\frac{3}{8}$$*$$\frac{1}{3}$$ = $$\frac{1}{8}$$ on food.
Now remaining is $$\frac{2}{8}$$X = 40. So, X = 160.
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Re: A woman spent 5/8 of her weekly salary on rent and 1/3 of the remainde   [#permalink] 19 Aug 2018, 09:30
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