Percent and Interest Problems

Question 1

P#5

Each of the students in a certain class received a single grade of P, F, or I. What percent of the students in the class were females?

(1) Of those who received a P, 40 percent were females.
(1) Of those who received either an F or I, 80 percent were males.

Question 2

Linda put an amount of money into each of two new investments, A and B, that pay simple annual interest. If the annual interest rate of investment B is 1 1/2 times that of investment A, what amount did Linda put into investment A

(1) The interest for 1 year is $50 for investment A and $150 for investment B
(2) The amount that Linda put into investment B is twice the amount that she put into investment A

Question 3

P#8

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack’ hourly wage was how many dollars per hour more than Mark’s?

(1) Before the wage increases, Jack’s hourly wage is $5 per hour more than Mark’s
(2) Before the wage increases, the ratio of the Jack’s hourly wage to Mark’s hourly wage is 4 to 3

Question 4

P#9

Martha bought an armchair and a coffee table at an action and sold both items at her store. Her gross profit from the purchase and sale of the armchair was what percentage greater than her gross profit from the purchase and sale of the coffee table?

(1) Martha paid 10% more for armchair than for the coffee table.
(2) Martha sold the armchair for 20% more than she sold the coffee table.

Question 5

P#10

Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items?

(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20
(2) The regular price of the least expensive item was $15

Question 6

P#11

A certain salesman’s yearly income is determined by a base salary plus a commission on the sales he makes during the year. Did the salesman’s base salary account for more than half of the salesman’s yearly income last year?

(1) If the amount of the commission had been 30 percent higher, the salesman’s income would have been 10 percent higher last year.
(2) The difference between the amount of the salesman’s base salary and the amount of the commission was equal to 50 percent of the salesman’s base salary last year.

Question 7

P#12

In a survey of retailers, what percent had purchased computers for business purposes?

(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes.
(2) 40 percent of the retailers surveyed owned their own store.

Question 8

P#13

Guy’s net income equals his gross income minus his deductions. By what percent did Guy’s net income change on January 1, 1989, when both his gross income and his deductions increased?

(1) Guy’s gross income increased by 4 percent on January 1, 1989.
(2) Guy’s deductions increased by 15 percent on January 1, 1989.

Question 9

P#14

Janson’s salary and Karen’s salary were each p percent greater in 1998 than in 1995. What is the value of p?

(1) In 1995 Karen’s salary was $2,000 greater than Jason’s.
(2) In 1998 Karen’s salary was $2,440 greater than Jason’s.

Question 10

P#15

If $5,000 invested for one year at p percent simple annual interest yields $500, what amount must be invested at k percent simple annual interest for one year to yield the same number of dollars?

(1) k = 0.8p
(2) k = 8

Question 11

P#16

Whenever martin has a restaurant bill with an amount between $10 and $99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin’s most recent restaurant bill was between $10 and $99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill?

(1) The amount of the bill was between $15 and $50
(2) The tip calculated by the martin was $8

Question 12

P#17

By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale.

Question 13

P#18

Warehouse W’s revenue from the sale of sofas was what percent greater this year than it was last year?

(1) Warehouse W sold 10% more sofas this year than it did last year
(2) Warehouse W’s selling price per sofa was $30 greater this year than it was last year

Question 14

P#19

On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest?

(1) The total amount of interest earned by Hannah’s two investments in one year was $900.
(2) Hannah invested the $5,000 at 6 percent simple annual interest.

Question 15

P#20

Is x% of x% of y equal to x% less than y ?

(1) x(x + 100) = 10,000
(2) y(y + 1) = 1

Question 16

P#21

Ann deposited money into two new accounts, A and B. Account A earns 5 percent simple annual interest and account B earns 8 percent simple annual interest. If there were no other transactions in the two accounts, then the amount of interest that account B earned in the first year was how many dollars greater than the amount of interest that account A earned in the first year?

(1) Ann deposited $200 more in account B than in account A.
(2) The total amount of interest that the two accounts earned in the first year was $120.

Question 17

P#22

A car dealership carries only sedans and SUVs, and on Tuesday it sold 1/6 of the sedans that it had in stock at the beginning of the day. If no new inventory arrived at any point on Tuesday, and the only change in inventory was that some vehicles were sold, did the dealership have more than 100 vehicles in inventory at the beginning of the day Tuesday?

(1) By the end of the day, the dealership had sold 8/9 as many sedans as SUVs.
(2) The dealership sold 85% as many sedans on Tuesday as it did on Wednesday.