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Last year if Arturo spent a total of $12,000 on his mortgage [#permalink] ### Show Tags 07 Dec 2012, 06:54 12 This post was BOOKMARKED 00:00 Difficulty: 45% (medium) Question Stats: 62% (02:26) correct 38% (01:43) wrong based on 954 sessions ### HideShow timer Statistics Last year, if Arturo spent a total of$12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?

(1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments.

(2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.
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Re: Last year if Arturo spent a total of $12,000 on his mortgage [#permalink] ### Show Tags 07 Dec 2012, 07:00 Expert's post 2 This post was BOOKMARKED Last year, if Arturo spent a total of$12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?

Let M, R, and H be the amounts that Arturo spent on mortgage payments, real estate taxes, and home insurance, respectively.

Given: M + R + H = 12,000.
Question: R??

(1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments --> 33 1/3 percent is 1/3 rd, thus given that R + H = M/3 --> M + R + H = M + M/3 = 12,000 --> M = 9,000 --> R + H = 12,000 - 9,000 = 3,000. R can take more than one value. Not sufficient.

(2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance --> given that R = (M + H)/5 --> 5R = M + H --> M + R + H = 5R + R = 12,000 --> 6R = 12,000 --> R = 2,000. Sufficient.

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Re: Last year if Arturo spent a total of $12,000 on his mortgage [#permalink] ### Show Tags 26 May 2014, 18:43 Walkabout wrote: Last year, if Arturo spent a total of$12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?

(1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments.

(2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.

Problem: Tax+Morg+Ins=T+M+I=12 000

(1) T+I=331/3% x (12 000 -T -I) -------- (M=12 000 - T - I) Not sufficient.

(2) T=0.2 x (12 000 - T) --------------------(M+I=12 000 - T) Sufficient.

T+0.2T=2 400
T=2 400/1.2=2 000
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Re: Last year if Arturo spent a total of $12,000 on his mortgage [#permalink] ### Show Tags 20 Oct 2016, 04:22 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: Last year if Arturo spent a total of$12,000 on his mortgage   [#permalink] 20 Oct 2016, 04:22
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