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Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her

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Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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New post 07 Jan 2019, 09:41
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

95% (00:54) correct 5% (00:39) wrong based on 27 sessions

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Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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New post 07 Jan 2019, 09:53
1
Bunuel wrote:
Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her remaining savings on a new carpet. If the carpet cost her $250, how much were Doris’ original savings?

A. $1,000
B. $1,200
C. $1,500
D. $2,000
E. $3,000



let original salary be x

car 2x/3
left x/3
x.3 * 1/4 = x/12 = 250
x= 3000 IMO E
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Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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New post 07 Jan 2019, 09:54
Bunuel wrote:
Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her remaining savings on a new carpet. If the carpet cost her $250, how much were Doris’ original savings?

A. $1,000
B. $1,200
C. $1,500
D. $2,000
E. $3,000


Cost of carpet = $250
Money spent on carpet was 1/4 of remaining savings after buying a used car.
So his remaining savings was =250 * 4 = $1000
This is again (1-2/3) = 1/3 of her original savings.
So, original savings = 3* 1000 = $3000 .
Answer E)
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Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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New post 07 Jan 2019, 10:08
Let the savings be "X".

\(\frac{2}{3}\)x is spent on used car. \(\frac{1}{4}\) of remaining is \(\frac{1}{3}*\frac{1}{4}*x\) = \(\frac{1}{12}*x\)

\(\frac{1}{12}*x\) = $250
x = $3000

OPTION: E
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Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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New post 07 Jan 2019, 18:05
Bunuel wrote:
Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her remaining savings on a new carpet. If the carpet cost her $250, how much were Doris’ original savings?

A. $1,000
B. $1,200
C. $1,500
D. $2,000
E. $3,000



1/4 represents 250

So, the full amount = 4*250 = 1000

1000 represents 1/3 of the balance

1/3 represents 1000

Full amount = 1000*3 = 3000.

E is the correct answer.
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Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her   [#permalink] 07 Jan 2019, 18:05
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