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07 Dec 2012, 07:54
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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. [Reveal] Spoiler: OA Math Expert Joined: 02 Sep 2009 Posts: 32657 Followers: 5659 Kudos [?]: 68757 [0], given: 9818 Re: Last year if Arturo spent a total of$12,000 on his mortgage [#permalink]

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07 Dec 2012, 08:00
Expert's post
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. Answer: B. _________________ Intern Joined: 19 Jan 2014 Posts: 31 Followers: 0 Kudos [?]: 13 [0], given: 51 Re: Last year if Arturo spent a total of$12,000 on his mortgage [#permalink]

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26 May 2014, 19:43
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 Manhattan GMAT Instructor Joined: 22 Mar 2011 Posts: 779 Followers: 215 Kudos [?]: 573 [3] , given: 24 Re: Last year if Arturo spent a total of$12,000 on his mortgage [#permalink]

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28 May 2014, 12:48
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Quick version:

1) This statement lumps together T and I, so we'll never find T. Insufficient.

2) This relates T to the rest. T = .20(M+I). The ratio of T to other is 1 to 5, so the ratio of T to total is 1 to 6. We can now solve (1/6 of $12,000 is$2,000), but as soon as we see that we know the relation of T to the other parts (when we already know the total), we can stop. Sufficient.
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Re: Last year if Arturo spent a total of $12,000 on his mortgage [#permalink] ### Show Tags 06 Oct 2015, 18:44 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] 06 Oct 2015, 18:44
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