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# A certain country had a total annual expenditure of $1.2 x 1 SORT BY: Tags: Show Tags Hide Tags Manager Joined: 02 Dec 2012 Posts: 172 Own Kudos [?]: 24920 [31] Given Kudos: 29 Most Helpful Reply Math Expert Joined: 02 Sep 2009 Posts: 95451 Own Kudos [?]: 657664 [17] Given Kudos: 87242 GMAT Club Legend Joined: 12 Sep 2015 Posts: 6803 Own Kudos [?]: 31271 [2] Given Kudos: 799 Location: Canada General Discussion Senior Manager Joined: 13 Aug 2012 Posts: 327 Own Kudos [?]: 1856 [2] Given Kudos: 11 Concentration: Marketing, Finance GPA: 3.23 Re: A certain country had a total annual expenditure of$1.2 x 1 [#permalink]
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$$=\frac{1.2x10^{12}}{240x10^{6}}$$
Notice that 1.2 and 240 we could manipulate to make it to $$120/240$$

$$=\frac{120x10^{10}}{240x10^{6}}=0.5x10^{10-6}=0.5x10^{4}=5,000$$

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Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] 1 Kudos 1 Bookmarks Expert Reply Walkabout 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?

(A) $500 (B)$1,000
(C) $2,000 (D)$3,000
(E) $5,000 The key to solving this problem is to accurately translate what is being asked to a mathematical expression. We need to determine the “per capital expenditure”. As an expression this is: (Total annual expenditure)/(Total population)= per capita expenditure The easiest first step is to express 240 million as a number times a power of 10 since the other number is in this format. 240 million = 240,000,000 Since we have a 24 with 7 zeroes we can write this as: 24 x 10^7 Next, we should adjust 1.2 x 10^12 to make it a more usable number in our expression. 1.2 x 10^12 = 120 x 10^10 We now can solve: (Total annual expenditure)/(Total population) (120 x 10^10)/(24 x 10^7) 5 x 10^3 5 x 1,000 = 5,000 Answer E. GMAT Club Legend Joined: 03 Jun 2019 Posts: 5360 Own Kudos [?]: 4360 [0] Given Kudos: 161 Location: India GMAT 1: 690 Q50 V34 WE:Engineering (Transportation) Re: A certain country had a total annual expenditure of$1.2 x 1 [#permalink]
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

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? Per capita expenditure = $$\frac{1.2 * 10^12}{240^10^6} = \frac{1200 * 10^9}{240 * 10^6} = 5*10^3 = 5000$$ IMO E Board of Directors Joined: 11 Jun 2011 Status:QA & VA Forum Moderator Posts: 6046 Own Kudos [?]: 4819 [0] Given Kudos: 463 Location: India GPA: 3.5 WE:Business Development (Commercial Banking) Re: A certain country had a total annual expenditure of$1.2 x 1 [#permalink]
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

$$\frac{12*10^{11}}{240*10^6}$$

= $$\frac{12*10^{11}}{24*10^7}$$

= $$\frac{1*10^4}{2}$$

= $$\frac{1*10000}{2}$$

= $$5000$$, Answer must be (E)
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Re: A certain country had a total annual expenditure of $1.2 x 1 [#permalink] 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: A certain country had a total annual expenditure of$1.2 x 1 [#permalink]
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