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Register now and save up to $200 Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code ## Easy one tagged by: Brent@GMATPrepNow This topic has 5 expert replies and 1 member reply manu.pant Senior | Next Rank: 100 Posts Joined 04 May 2010 Posted: 33 messages #### Easy one Wed May 18, 2011 8:14 pm Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) A certain country had a total annual expenditure of$1.2 X 10^12 last year. If the population of the country
was 240 million last year, what was the per capita
expenditure?

Ans is 5000, but I think it should be 500

Source: OG12, Prob Solving 133

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### GMAT/MBA Expert

Anurag@Gurome GMAT Instructor
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Wed May 18, 2011 8:38 pm
manu.pant wrote:
A certain country had a total annual expenditure of
$1.2 X 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure? Ans is 5000, but I think it should be 500 Source: OG12, Prob Solving 133$1.2 X 10^12 = 12 * 10^11
240 million = 240 * 10^6 = 24 * 10^7
So, per capita expenditure = 12 * 10^11/24 * 10^7 = (1/2) * 10^4 = 0.5 * 10^4 = $5,000 _________________ Anurag Mairal, Ph.D., MBA GMAT Expert, Admissions and Career Guidance Gurome, Inc. 1-800-566-4043 (USA) Join Our Facebook Groups GMAT with Gurome https://www.facebook.com/groups/272466352793633/ Admissions with Gurome https://www.facebook.com/groups/461459690536574/ Career Advising with Gurome https://www.facebook.com/groups/360435787349781/ ### GMAT/MBA Expert GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13357 messages Followed by: 1779 members Thanked: 12880 times GMAT Score: 790 Wed May 18, 2011 8:39 pm manu.pant wrote: A certain country had a total annual expenditure of$1.2 X 10^12 last year. If the population of the country
was 240 million last year, what was the per capita
expenditure?

Ans is 5000, but I think it should be 500

Source: OG12, Prob Solving 133
Expenditure/Population:
= (1.2 * 10^12)/(240 * 10^6)
= (12 * 10^11)/(24 * 10^7)
= (12/24)*(10^11/10^7)
= 1/2 * 10^4
= 5,000.

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Jeff@TargetTestPrep GMAT Instructor
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Sat Jun 27, 2015 5:30 am
manu.pant wrote:
A certain country had a total annual expenditure of
$1.2 X 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure? Ans is 5000, but I think it should be 500 Source: OG12, Prob Solving 133 A certain country had a total annual expenditure of$1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure?

A) $500 B)$1,000
C) $2,000 D)$3,000
E) $5,000 Solution: One key to solving this problem is to accurately translate what is being asked into a mathematical equation. We need to determine the “per capita expenditure," which is obtained by the formula: Per capita expenditure = (Total annual expenditure)/(Total population) The first step is to express 240 million as a number times a power of 10, since the other number is in such a format. 240 million = 240,000,000 Since we have a 24 with 7 zeroes we can write this number as: 24 x 10^7 Next, we adjust 1.2 x 10^12 to make it a more useful number in our expression. 1.2 x 10^12 = 120 x 10^10 We now can solve: Per capita expenditure = (Total annual expenditure)/(Total population) Per capita expenditure = (120 x 10^10)/(24 x 10^7) Per capita expenditure = 5 x 10^3 Per capita expenditure = 5 x 1,000 Per capita expenditure = 5,000 Answer:E _________________ Jeffrey Miller Head of GMAT Instruction nikhilgmat31 Legendary Member Joined 12 May 2015 Posted: 518 messages Thanked: 10 times Test Date: 3 Oct Target GMAT Score: 750 Thu Jul 02, 2015 3:49 am 5000 ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 10760 messages Followed by: 1212 members Thanked: 5144 times GMAT Score: 770 Mon Aug 28, 2017 2:34 pm Quote: A certain country had a total annual expenditure of$1.2 x 10^12 last year. If the population of the country was 240 million last year, what was the per capita expenditure?

(A) $500 (B)$1,000
(C) $2,000 (D)$3,000
(E) \$5,000
Let's use a nice rule that says: (ab)/(cd) = (a/c)(b/d)

Per capita expenditure = (total expenditure of country)/(total population of country)
= (1.2 x 10^12)/(240 million)
= (1.2 x 10^12)/(240 x 10^6)
= (1.2 x 10^3 x 10^9)/(240 x 10^6)
= (1.2 x 10^3 x 10^9)/(240 x 10^6)
= (1200 x 10^9)/(240 x 10^6)
= (1200/240)(10^9/10^6)
= (5)(10^3)
= (5)(1000)
= 5000

Cheers,
Brent

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Matt@VeritasPrep GMAT Instructor
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Wed Aug 30, 2017 5:41 pm
Quote:
= (1.2 * 10¹²)/(240 million)
= (1.2 * 10¹²)/(240 * 10⁶)
= (1.2 * 10³ * 10⁹)/(240 * 10⁶)
= (1.2 * 10³ * 10⁹)/(240 * 10⁶)
= (1200 * 10⁹)/(240 * 10⁶)
= (1200/240)(10⁹/10⁶)
= (5)(10³)
= (5)(1000)
= 5000
ftfy ^ ^

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