Percentage Basic Applications

Basic Applications:

1.                    A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
(A) $40 and $42    (B) $39 and $41    (C) $38 and 40     (D) $37 and $39    (E) $36 and $37

2.                   X is what percent greater than Y percent of Z?

3.                   If 70 percent of 600 is 40 percent of x, then x=?
(A)  105       (B)  168        (C)  342 and 6/7       (D)  660      (E) 1050

4.                   If 25 students took an exam and 4 of them failed, what percent of them passed?

(A)  4 %        (B) 21 %        (C) 42 %      (D) 84 %     (E) 96 %

5. Amanda bought a sweater on sale at 5 % off. How much did she pay, including 5 % sales tax?

(A)  $54.15       (B) $57.00        (C) $57.75         (D) $59.85       (E) $60.00

6. If c is a positive number, 500% of c is what percent of 500c?

(A)  .01         (B) 0.1         (C)  1      (D) 10      (E) 100

7. What percent of 50 is b  ?

(A)           (B)          (C)      (D)      (E) 2b

8. 8   is    % of what number?

9. Column A:  400% 0f 3               Column B: 300% of 4

10.                             n% of 25 is 50

Column A:  50% of n                     Column B: 75

11. Column A :   20 % of   400                            Column B:  40 % of        200 

12. Column A : a % of       b                                           Column B :  b % of      a

13. If 1 micron = 10,000 angstroms, then 100 angstroms is what percent of 10 microns?

(A)  .0001 %        (B) 0.001 %        (C) 0.01 %      (D) 0.1 %     (E) 1 %

14. In a shipment of 120 machine parts, 5 percent were defective .In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective?

(A)  6.5 %        (B) 7.0 %        (C) 7.5 %      (D) 60 %     (E) 6000 %

15. Tickets are sold for all but 100 seats in a 10,000 – stadium were sold. Of the tickets sold, 20 percent were sold at half price and the remaining tickets were sold at the full price of $2.What was the total revenue from the ticket sales?

(A)  $15,840        (B) $17,820        (C) $18,000         (D) $19,800      (E) $21,780

16. If there are 664,579 prime numbers among the first 10 million positive integers, approximately, what percent of the first 10 million positive integers are prime numbers? 

(A)  0.0066 %        (B) 0.066 %        (C) 0.66 %      (D) 6.6 %     (E) 66 %

17. A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume .If 2,500 gallons of water evaporate from the tank; the remaining solution will be approximately what percent sodium chloride?

(A)  1.25 %        (B) 3.75 %        (C) 6.25 %      (D) 6.67 %     (E) 11.7 %

18. Last year’s receipts from the sale of candy on Valentine’s Day totalled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy’s sales for the year totalled how many million dollars?

(A)  $55      (B) $550     (C) $2695     (D) $5500      (E) $26,950 

19. In a poll of 66,000 physicians, only 20 percent responded. Of these, 10 percent disclosed their preference for pain reliever X. How many of the physicians who responded did not disclose a preference for pain reliever X?

(A)  1,320      (B) 5,280     (C) 6,600     (D) 10,560      (E) 11,880

20.   In a horticultural  experiment, 200 seeds were planted in plot1 and 300 were planted in plot2 .If 57 percent of the seeds in plot1 germinated and 42 percent of the seeds in plot2 germinated , what percent of the total number of planted seeds germinated?

(A)  45.5 %        (B) 46.5 %        (C) 48.0 %      (D) 49.5 %     (E) 51.0 %

21. If 18 is 15 percent of 30 percent of a certain number, what is the number?

(A)  9      (B) 36     (C) 40     (D)  81      (E) 400

22.  Last year if 97 percent of the revenues of a company came from domestic sources and the remaining revenues, totalling $450,000, came from foreign sources, what was the total of the company’s revenues?

(A)  $1,350,000    (B) $1,500,000   (C) $4,500,000    (D)  $15,000,000   (E) $150,000,000

23. If the sales tax on an appliance priced at $300 is between 5 percent and 8 percent , then the cost ( price plus sales tax) of the appliance could be ?

(A)  $310 (B)  $312 (C) $314 (D)  $318 (E) $325

24. Column A: A bonus of $ 450 plus a 9 percent increase in annual salary                                                                                                                            Column B: A bonus of $500 plus an 8.5 percent increase in annual salary

25. A team won 75 percent of the 24 games it played.

Column A: the number of games the team won                       Column B: 20

26. Column A:6% of 9                Column B: 8% of 7