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Easy one

This topic has 5 expert replies and 1 member reply
manu.pant Senior | Next Rank: 100 Posts Default Avatar
Joined
04 May 2010
Posted:
33 messages

Easy one

Post Wed May 18, 2011 8:14 pm
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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Post 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

Answer: E

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Brent

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Post 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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Post 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

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Post 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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For more information, please email me at GMATGuruNY@gmail.com.

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Post 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

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Jeffrey Miller Head of GMAT Instruction

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nikhilgmat31 Legendary Member Default Avatar
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Posted:
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Post Thu Jul 02, 2015 3:49 am
5000

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