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At the beginning of the year in town X, 30% of the population had libe 20 Feb 2020, 05:25
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44% (02:41) correct 56% (03:09) wrong based on 48 sessions

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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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unraveled
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At the beginning of the year in town X, 30% of the population had libe 20 Feb 2020, 06:21
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Bunuel
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
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Tag shows it's a 600-700 level question.
Bunuel can you check.
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Bunuel
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At the beginning of the year in town X, 30% of the population had libe 20 Feb 2020, 06:24
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lnm87
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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%

Are You Up For the Challenge: 700 Level Questions
Tag shows it's a 600-700 level question.
Bunuel can you check.
Show more

Corrected the tag. Thank you.
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At the beginning of the year in town X, 30% of the population had libe 20 Feb 2020, 06:55
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Bunuel
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
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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 20 Feb 2020, 07:17
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shameekv1989
Bunuel
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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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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At the beginning of the year in town X, 30% of the population had libe 21 Feb 2020, 20:47
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Bunuel
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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Bunuel is it % percent increase in non-liberal or % decrease liberal view?
None of the answers match
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At the beginning of the year in town X, 30% of the population had libe 06 Aug 2024, 12:38
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