PERCENT INCREASE AND DECREASE

Percent increase and Percent decrease ( simple, max and min , two variables, three variables ):

1.  When the stock market opened yesterday, the price of a share of stock X was 10 1/2. When the market closed, the price was 11. Of the following, which is closest to the percent increase in the price of stock X? 
(A)  0.5%       (B) 1.0%       (C) 6.7%         (D) 7.1%      (E) 7.5%

2. If the population of city A is increased by a% in year 2006 from year 2005 and b% in 2007 from year 2006. If a + b=20, then what is the maximum percentage increase in population of city A from 2005 to year 2007?
(A) 20.19%   (B) 20.36%      (C) 20.51%       (D) 20.84%     (E)   21%

 3. A certain protective additive increases from 45 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
(A)  25%     (B) 33 %       (C) 50 %       (D) 66 %     (E) 75%

4. During his second week on the job, Mario earned $110. This represented a 25 % increase over his earnings of the previous week. How much did he earn during the first week of work?

(A) $82.50    (B) $85.00    (C) $88.00     (D) $137.50    (E) $146.67

5. An art dealer bought a Ming vase for a $1000 and later sold it for $10,000. By what percent did the value of the vase increase?

(A)  10 %       (B) 90 %       (C) 100 %         (D) 900 %      (E) 1000 %

6. Mrs. Fisher usually deposits the same amount of money each month in to a vacation fund. This year she decided not to make any contributions during November and December .To make the same annual contribution that she had originally planned; by what percent should she increase her monthly deposits from January through October?

(A)  16  %  (B)  20 %  (C)  25 % (D)  33  %   (E)  It cannot be determined from the information given.

7. The price of cellular phone1 is 20% more than the price of cellular phone2.

Column A:  The price of cellular phone1 when it is on sale at 20% off.

Column B : The price of cellular phone2.

8. If the total payroll expense of a certain business in year Y was $84,000, which was 20 percent more than in year X, what was the total payroll expense in year X ?

(A)  $70,000   (B)  $68,320   (C)  $64,000     (D)  $60,000    (E) $52,320

9. In 1985, 45 percent of a document storage facility’s 60 customers were banks , and in 1987, 25 percent of the 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had?

(A) 10.7 %       (B) 20 %       (C) 25 %         (D) 33   %      (E) 58  %

10. If a compact disc that sells for $12.95 is on sale for $9.95, then the percent decrease in price is closest to

(A)  38 %       (B) 31 %       (C) 30 %         (D) 29 %      (E) 23 %

11. During a certain season, a team won 80 percent of its first 100 games and 50 percent of the remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?

(A)  180      (B) 170     (C) 156     (D) 150      (E) 105

12.  During the second quarter of 1984, a total of 2,976,000 domestic cars were sold .If this was 24 percent greater than the number sold during the first quarter of 1984, how many were sold during the first quarter?

(A)  714,240      (B) 2,261,760     (C) 2,400,000     (D) 3,690,240      (E) 3,915,790

13. Mr.Hernadez ,who was a resident of state X for only 8 months last year, had a taxable income prorated for the portion of the year during which the taxpayer was a resident, what would be the total amount of Mr. Hernadez’s State X tax for the last year ?

(A)  $900   (B)  $720   (C)  $600     (D)  $300    (E) $60

14.The number of coronary bypass operations performed in the United States increased from 13,000 to 191,000 in 1983.What was the approximate percent increase in the number of coronary –bypass operations from 1970 to 1983?

(A)  90 %       (B)  140 %       (C)  150 %         (D)  1400 %      (E)  1600 %

15.In 1986 the book value of a certain car was  of the original purchase price, and in 1988 its book value was   of its original price. By what percent did the book value of this car decrease from 1986 to 1988 ?

A)  16   %       (B)  25 %       (C)  33 %         (D)  50 %      (E)  75 %

16. The organizers of a fair projected a 25 percent increase in attendance this year over that of the last year, but attendance this year actually decreased by 20 percent .what percent of the projected attendance was the actual attendance?

(A)  45  %        (B) 56  %        (C)  64  %      (D) 75 %     (E) 80 %

17. A certain telescope increases the visual range at a particular location from 90 kilometres to 150 kilometres. By what percent is the visual range increased by using the telescope?

(A)  30 %       (B) 33  %       (C) 40 %         (D) 60 %      (E) 66  %

18. Dick and Jane each saved $3,000 in 1989 in 1990 dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000 approximately what percent less did Jane save in 1990 than in 1989 ?

(A)  8 %        (B) 25 %        (C) 41 %      (D) 59 %     (E) 70 %

19. What is percent increase from 50 to 60  ?

20. If x is reduced by 30% , the resulting number is 63 . The value of x =

21. 75 reduced by x % is 54 . The value of x =

22.Raymond borrowed $450 at 0% interest . if he pays back 0.5% of the total amount every 7 days , beginning exactly 7 days after the loan was disbursed, and has thus far paid back $18 , with the most recent payment made today , how many days ago did he borrow the money ?

(A)  6 (B)  8   (C)  25     (D)  42    (E) 56

23. The number of that is 50% greater than 60 is what percent less than the number that is 20% less than 150?

(A)  5 %        (B) 10%        (C) 15%      (D) 20 %     (E) 25%