A certain country had a total annual expenditure of $1.2 x 1

Question

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

Bunuel · Accepted Answer

240 million = 24*10^7, thus the per capita expenditure =  \frac{1.2 * 10^{12}}{24*10^7}=\frac{12 * 10^{11}}{24*10^7}=0.5*10^4=5000 .

Answer: E.

BrentGMATPrepNow · Answer

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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mbaiseasy · Answer

=\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

Answer: E

ScottTargetTestPrep · Answer

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.

Kinshook · Answer

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

Abhishek009 · Answer

\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)

totaltestprepNick · Answer

A https://www.youtube.com/watch?v=VBsfb7GhJ4Q Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

A certain country had a total annual expenditure of $1.2 x 1

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A certain country had a total annual expenditure of $1.2 x 1

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