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Bunuel
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 16 Jun 2018, 00:21
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70% (01:43) correct 30% (02:03) wrong based on 82 sessions

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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If the population of the nation is 1.75 million, what is the per capita (per person) GDP, rounded to the nearest dollar?

(A) $3
(B) $25
(C) $257
(D) $2,571
(E) $25,714
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D
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 16 Jun 2018, 01:22
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(4.5*10^9)/(1.75*10^6) = less than 2600(approx. value)

Looking at the answer choices - 2571.

OA-D.
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generis
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 17 Jun 2018, 11:38
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Bunuel
A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If the population of the nation is 1.75 million, what is the per capita (per person) GDP, rounded to the nearest dollar?

(A) $3
(B) $25
(C) $257
(D) $2,571
(E) $25,714
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ONLY powers of 10 (number of digits) separate the answers. No need for long division. Round to a multiple and a factor.

GDP = $4.5 = $5.1 billion = $5.1 * 10\(^9\)
Population = 1.75 = 1.7 million = 1.7*10\(^6\)

Per capita $GDP = National $GDP / Pop.
\(\frac{$5.1*10^9}{1.7*10^6}=($3*10^{(9-6)})=$3*10^3\approx$3,000\)

Answer D

If that rounding is too much, try fractions

National $GDP: $4.5 billion
\($4.5B=$4\frac{1}{2}B=\frac{$9}{2} * 10^9\)
Population: 1.75 million
\(1.75M=1\frac{3}{4}M=\frac{7}{4}* 10^6\)

Leave aside the powers of 10 for a bit. Per capita GDP = national $GDP / Population

First quotient value:

\(\frac{($\frac{9}{2})}{(\frac{7}{4})}=($\frac{9}{2}*\frac{4}{7})=\frac{$18}{7}\approx$2.5\)

Powers of 10: \(\frac{10^9}{10^6}=10^{(9-6)}=10^3\)

Per capita $GDP \(\approx$2.5*10^3=$2,500\)

Answer D
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 17 Jun 2018, 17:30
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generis
Bunuel
A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If the population of the nation is 1.75 million, what is the per capita (per person) GDP, rounded to the nearest dollar?

(A) $3
(B) $25
(C) $257
(D) $2,571
(E) $25,714
ONLY powers of 10 (number of digits) separate the answers. No need for long division. Round to a multiple and a factor.

GDP = $4.5 = $5.1 billion = $5.1 * 10\(^9\)
Population = 1.75 = 1.7 million = 1.7*10\(^6\)

Per capita $GDP = National $GDP / Pop.
\(\frac{$5.1*10^9}{1.7*10^6}=($3*10^{(9-6)})=$3*10^3\approx$3,000\)

Answer C

If that rounding is too much, try fractions

National $GDP: $4.5 billion
\($4.5B=$4\frac{1}{2}B=\frac{$9}{2} * 10^9\)
Population: 1.75 million
\(1.75M=1\frac{3}{4}M=\frac{7}{4}* 10^6\)

Leave aside the powers of 10 for a bit. Per capita GDP = national $GDP / Population

First quotient value:

\(\frac{($\frac{9}{2})}{(\frac{7}{4})}=($\frac{9}{2}*\frac{4}{7})=\frac{$18}{7}\approx$2.5\)

Powers of 10: \(\frac{10^9}{10^6}=10^{(9-6)}=10^3\)

Per capita $GDP \(\approx$2.5*10^3=$2,500\)

Answer C
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generis,

Your solution is correct, but you have picked the wrong option. It should be D
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 17 Jun 2018, 17:46
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GMATSkilled - I've changed the answer. I appreciate the heads up. Thank you!
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A particular nation’s GDP (Gross Domestic Product) is $4.5 billion. If 22 Aug 2024, 14:42
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