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At the beginning of the year in town X, 30% of the population had libe

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At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 20 Feb 2020, 04:25
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At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

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Re: At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 20 Feb 2020, 05:21
Bunuel wrote:
At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

Are You Up For the Challenge: 700 Level Questions

Tag shows it's a 600-700 level question.
Bunuel can you check.
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Re: At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 20 Feb 2020, 05:24
lnm87 wrote:
Bunuel wrote:
At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

Are You Up For the Challenge: 700 Level Questions

Tag shows it's a 600-700 level question.
Bunuel can you check.


Corrected the tag. Thank you.
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Re: At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 20 Feb 2020, 05:55
Bunuel wrote:
At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

Are You Up For the Challenge: 700 Level Questions


Beginning => Let there be 100 people => 30 with liberal and 70 with non liberal values
End of the year => Population grew by 12% that means there are 112 people and liberal values population decreased by 5% that mean it is 25 % now
Therefore, Of 112 people there are 28 people with liberal values and 84 people with non-liberal values

% Increase = \(\frac{New - Initial }{ Initial }\) = \(\frac{84-70}{70}\) = \(\frac{14}{70} = 20% \)

But there is no option for 20%

If I use % Increase = \(\frac{New - Initial }{ New} \)=\( \frac{84-70}{84} \)= \( \frac{14}{84} ~= 17% \) which is Answer E. But I wonder if I can take a new value in the denominator.

Need help!!
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At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 20 Feb 2020, 06:17
shameekv1989 wrote:
Bunuel wrote:
At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

Are You Up For the Challenge: 700 Level Questions


Beginning => Let there be 100 people => 30 with liberal and 70 with non liberal values
End of the year => Population grew by 12% that means there are 112 people and liberal values population decreased by 5% that mean it is 25 % now
Therefore, Of 112 people there are 28 people with liberal values and 84 people with non-liberal values

% Increase = \(\frac{New - Initial }{ Initial }\) = \(\frac{84-70}{70}\) = \(\frac{14}{70} = 20% \)

But there is no option for 20%

If I use % Increase = \(\frac{New - Initial }{ New} \)=\( \frac{84-70}{84} \)= \( \frac{14}{84} ~= 17% \) which is Answer E. But I wonder if I can take a new value in the denominator.

Need help!!


I am trying to solve it for some time and I have the same problem. But i dont think it is possible to divide by the new when they ask for the percent increase from start to finish.
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Re: At the beginning of the year in town X, 30% of the population had libe  [#permalink]

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New post 21 Feb 2020, 19:47
Bunuel wrote:
At the beginning of the year in town X, 30% of the population had liberal values. At the end of the year the total population had grown by 12% and the proportion of the population with liberal values had decreased by 5%. From the beginning of the year to the end of the year what was the approximate percent increase in the number of people in town x with non-liberal values?

A. 9%

B. 10%

C. 12%

D. 15%

E. 17%

Are You Up For the Challenge: 700 Level Questions

Bunuel is it % percent increase in non-liberal or % decrease liberal view?
None of the answers match
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Re: At the beginning of the year in town X, 30% of the population had libe   [#permalink] 21 Feb 2020, 19:47
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At the beginning of the year in town X, 30% of the population had libe

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