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Re: If the total income of a state increases by 50% and the population of [#permalink]
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What those OA mean?

The right answer is C

I did it this way

suposse you have, lets say $200 income total and 10 people

So you have $20 per capita income

then you now that 50% is added to the $200 so you get $300
for ppl we get an increase of 25% meaning 12 people

and now just divide it 300/12 = 25
25 is 125% of 20

so 25% increase!

is this approach correct?
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Re: If the total income of a state increases by 50% and the population of [#permalink]
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Hi All,

These types of percent-based questions are often perfect for TESTing VALUES (and the number 100 tends to be a great number to TEST).

We're told that the total income of a state increases by 50% and the total population increases by 20%

To start:
Total Income = $100
Total Population = 100 people
$100/100 = $1 per person

After the increase:
New Total Income = $150
New Total Population = $120
$150/120 = $5/4 per person

The question asks for the percent increase in per capita income, which means that we need to use the Percentage Change Formula:

Percent Change = (New - Old)/Old

New = 5/4
Old = 1

(5/4 - 1)/1 = (1/4)/1 = 1/4 = 25% increase

Final Answer:

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Re: If the total income of a state increases by 50% and the population of [#permalink]
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Re: If the total income of a state increases by 50% and the population of [#permalink]
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