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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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Math Expert
Joined: 02 Sep 2009
Posts: 55640
Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her  [#permalink]

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07 Jan 2019, 09:41
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15% (low)

Question Stats:

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

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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

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Joined: 18 Aug 2017
Posts: 3866
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Concentration: Sustainability, Marketing
GPA: 4
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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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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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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.
x = $3000 OPTION: E _________________ ____________________________ Regards, Chaitanya +1 Kudos if you like my explanation!!! VP Joined: 31 Oct 2013 Posts: 1372 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her [#permalink] ### Show Tags 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.

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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