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A woman spent of her weekly salary on rent and of the remain

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sandy
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A woman spent of her weekly salary on rent and of the remain [#permalink] New post   17 Aug 2018, 18:41
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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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A
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mahimamili
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   09 Oct 2019, 02:36
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didnt understand the solution
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POORVIBANSAL
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   09 Oct 2019, 05:55
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mahimamili wrote:
didnt understand the solution


Hi, I solved it like the follow:
let the salary at the beginning be 800
Thus 5/8 will be 500
Therefore 300 remains out of which 1/3 is used
hence, 200 remains which actually is $40
Last step, using unitary method we can say that
when the remaining amount for other expenses is 200, the salary is 800
Therefore when the amount is 40, the salary will be 40*800/200
Ans- 160
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   14 Oct 2019, 22:33
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sandy wrote:
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


Attachment:
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   18 Feb 2021, 06:52
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sandy wrote:
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


Let the weekly salary be \(x\)

Rent = \(\frac{5x}{8}\)
Remaining = \(1 - \frac{5x}{8} = \frac{3x}{8}\)

Food = \((\frac{1}{3})(\frac{3x}{8})\)
Remaining = \((1 - \frac{1}{3})(\frac{3x}{8}) = (\frac{2}{3})(\frac{3x}{8}) = \frac{x}{4}\)

As per the question, \(\frac{x}{4} = 40\)
So, \(x = 160\)

Hence, option A
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   09 Sep 2021, 22:46
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Suppose, salary = x

Rent = 5x/8

remainder = x - 5x/8 = 3x/8

food = (3x/8) * (1/3) = x/8

Salary, x = 5x/8 + x/8 + 40
=> 8x = 6x + 320
=> 2x = 320
=> x 160 (A)
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Re: A woman spent of her weekly salary on rent and of the remain [#permalink] New post   21 Sep 2024, 15:17
Hello from the GRE Prep Club BumpBot!

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Re: A woman spent of her weekly salary on rent and of the remain [#permalink]
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