PERCENT INCREASE OR DECREASE

PROBLEMS

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Do the problem yourself first!

11.  In Problems 1 and 2, first ask this question:

____ is what percent of ____ ?

11.  "Out of" problem

11.  a)  9 out of 50 students were absent.  What percent were absent?

11.  a)  Ask the following question.

9 is what percent of 50 ?

11. a)   Now answer that question.  18%

11.  b)  1000 people were surveyed, and 456 responded Yes.  What
11.  b)  percent responded Yes?

11.  a)  Ask the following question.

456 is what percent of 1000 ?

  11. a)   Now answer that question.  45.6%

11.  c)  In a group of 200 people, 84 were of blood group A.  What
11.  c)  percent were of blood group A?

11.  a)  Ask the following question.

84 is what percent of 200 ?

  11. a)   Now answer that question.  42%

11.  d)  Anna earns $450 a week, and she pays $45 in taxes.  What percent
11.  d)  goes for taxes?

11.  a)  Ask the following question.

$45 is what percent of $450 ?

  11. a)   Now answer that question.  10%

12.  Difference problem.  In each of the following, there was a change
12.  of what percent?

 First, ask this question:

The difference is what percent of the original?

12.  a)  A sweater was marked down from $40 to $30.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$10 is what percent of $40 ?

  11. a)   Now answer that question.  25%

12.  b)  A sweater was marked up from $40 to $50.

12. b)   This was a difference of what percent?

11.  a)  Ask the following question.

$10 is what percent of $40 ?

  11. a)   Now answer that question.  25%

12.  c)  Last month's bill was $60, while this month's is $90.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$30 is what percent of $60?

  11. a)   Now answer that question.  50%

12.  d)  Last month's bill was $60, while this month's is $120.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$60 is what percent of $60 ?

  11. a)   Now answer that question.  100%

12.  e)  Marilyn's rent went from $500 to $440.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$60 is what percent of $500 ?

  11. a)   Now answer that question.  12%

12.  f)  Marilyn's rent went from $500 to $560.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$60 is what percent of $500 ?

  11. a)   Now answer that question.  12%

12.  g)  The price of a stock went from $32 to $36.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$4 is what percent of $32 ?

  11. a)   Now answer that question.  12½%

12.  h)  The price of a stock went from $32 to $28.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

$4 is what percent of $32 ?

  11. a)   Now answer that question.  12½%

12.  i)  A population grew from 100,000 in 1980 to 116,000 in 1990.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

16,000 is what percent of 100,000 ?

  11. a)   Now answer that question.  16%

12.  j)  A population decreased from 240,000 in 1985 to 210,000 in 1995.

12. a)   This was a difference of what percent?

11.  a)  Ask the following question.

30,000 is what percent of 240,000 ?

  11. a)   Now answer that question.  12½%

Calculator Problems

13.  (Is each one an "out of" problem or a "difference problem"?)

13.  Celia's monthly rent is $487.52.  She earns $1,845.34 a month.  What
13.  percent of her income goes for rent?  26.4%

14.  Henry's rent was reduced from $751.12 a month to $732.50.  This
14.  was a reduction of what percent?  2.5%

15.  At Merrytime College, there are 9,312 students, and 2,195 are
15.  freshmen.  What percent are freshmen?  23.6%

16.  A skirt that usually sells for $42.50 is on sale for $32.50.  This is a
16.  discount of what percent?  23.5%

17.  Alfred earns $502.27 per week, and his taxes are $84.12.  What
17.  percent goes for taxes?  16.7%

18.  Alfred earns $502.27 per week, but he takes home $418.15.  What
18.  percent is deducted?  16.7%

19.  Jane's bank account grew from $2,175 to $3,011.  This was an
19.  increase of what percent?  38.4%

10.   Jane had $2,175 in the bank, and she withdrew $478.25.   What
10.  percent did she withdraw?  22.0%

11.  A jacket that last year sold for $65, this year costs $72.  This was an
11.  increase of what percent?  10.8%


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