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By what percent did the population of Belleville increase from 2001 to

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Bunuel
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By what percent did the population of Belleville increase from 2001 to [#permalink] New post   08 Mar 2024, 02:30
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­By what percent did the population of Belleville increase from 2001 to 2003 ?

(1) The population of Belleville was 72,000 people in 2003.
(2) The population of Belleville doubled from 2001 to 2003.


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B
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kopp74
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By what percent did the population of Belleville increase from 2001 to [#permalink] New post   08 Mar 2024, 02:46
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IMO B 

Statement 1 This statement gives us the population of Belleville in 2003, but it doesn't provide any information about the population in 2001, so we cannot determine the percent increase from 2001 to 2003 based on this statement alone.
Statement 2 alone is sufficient as it tells us that the population of Belleville doubled from 2001 to 2003. Doubling implies a 100% increase.

So, the correct answer is (B).­
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Re: By what percent did the population of Belleville increase from 2001 to [#permalink] New post   08 Mar 2024, 15:23
(1) insufficient, we have no information of qty of people in 2001 or the increase information​

(2) If we know That the population double, we can either plug in a value or substituted value​- Sufficient

​

Ex. 2001 Pop= P and 2003 Pop =2P​

Ex. 2001 Pop= 5 and 2003 Pop =10​

​

(1) so we can use percent increase equation, 2P-P / P = P/P =1​

( 1) we can use real number P =5 and 2P = 10, 10-5/5= 5/5 =1
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Re: By what percent did the population of Belleville increase from 2001 to [#permalink] New post   09 Mar 2024, 08:46
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ANS=B
(1) The population of Belleville was 72,000 people in 2003.
we do not know what was the population of the town in 2001, hence INSUFFICIENT

(2) The population of Belleville doubled from 2001 to 2003.
If in 2001 population was x, in 2003 the population was 2x
meaning a 100% increase in population, hence SUFFICIENT
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Re: By what percent did the population of Belleville increase from 2001 to [#permalink]
09 Mar 2024, 08:46
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Bunuel
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