In this post, you will come across all the possible percentages questions that are likely to show up on the GRE exam.
Questions
Question 1
A shopkeeper made a loss of $7 on the sale of a coffee maker that cost the shopkeeper $48. What is the loss expressed as a percent of the shopkeeper’s cost?
Give your answer to the nearest whole percent.
Question 2
Joshua spent $81.95 buying a cell phone and $21.17 buying its accessories. Then he sold the cell phone for 25 percent more than the total amount he spent on buying the cell phone and it’s accessories.
Quantity A: The price at which Joshua sold the cell phone
Quantity B: 128
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 3
In 2020 the sales tax on each item in a restaurant Y was x percent of the list price of the item, where x is a constant. The sales tax in 2020 on hamburger in restaurant Y that had a list price of $12.5 was $1.5.
Quantity A: The sales tax in 2020 on an item that had a list price of $15.8
Quantity B: $2
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 4
In a certain class, 65% of the students take French. What is the ratio of the number of students who take French to the number of students who do not take French?
(A) 13 to 7
(B) 20 to 13
(C) 13 to 20
(D) 7 to 13
(E) 7 to 11
Question 5
By weight, 9 percent of fescue and 12 percent of zoysia is composed of Seed X. If 9 grams of fescue is mixed with 12 grams of zoysia, approximately what percent of the weight of the resulting mixture is Seed X?
(A) 10%
(B) 11%
(C) 21%
(D) 21.6%
(E) 22.5%
Question 6
X, Y, and Z are three right triangles. The base and height of triangle X are 12% larger and 12% smaller, respectively, than the base and height of triangle Z. The base and height of triangle Y are 24% larger and 24% smaller, respectively, than the base and height of triangle Z.
Quantity A: The area of triangle X
Quantity B: The area of triangle Y
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 7
A flask contains 40 grams of solution that is 25% sugar by weight. How much sugar must be added to the flask so that the resulting solution is 40% sugar by weight?
Question 8
Josh’s annual salary was increased by 20% percent to $60,000. What was his annual salary before the increase?
(A) $12,000
(B) $48,000
(C) $50,000
(D) $72,000
(E) $75,000
Question 9
The initial price of a stock was $X. It’s price then increased by 10% in March and then decreased by 10% in April to settle at $4158. What was the initial price of the stock?
Question 10
The price of a stock decreased by 4% in March and increased by 6% in April. What was the cumulative per- cent change for the two months?
(A) 1.5%
(B) 1.76%
(C) 2%
(D) 2.24%
(E) 10%
Question 11
The list price of a product is $X in both shops A and B. Shop A first gives an 8% discount on the list price and then applies a 11% sales tax to the discounted price. On the other hand, shop B first applies a 11% sales tax to the list price and then gives an 8% discount on the after-tax price.
Quantity A: The final price of the product in shop A after the discount and the tax.
Quantity B: The final price of the product in shop B after the tax and the discount.
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 12
From 2019 to 2020, the price of product X increased by 17% and the price of product Y decreased by 11%. If their price were equal in 2020, then the price of product Y in 2019 was what percent greater than the price of product X in 2019?
Give your answer to the nearest whole percent.
Question 13
In a certain university, 47% of the faculty were at least 28 years old and 21% of the faculty were at least 37 years old. If 455 of the faculty members were at least 28 years old but less than 37 years old, what was the total number of faculty in the university?
Question 14
In a company, the number of females is 20 more than the number of males. 20% of all the students study calculus. 15% of all the males study calculus.
Quantity A: Number of females studying calculus
Quantity B: Number of males studying calculus
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 15
In 2020, the salary of person X was increased by 20% and the salary of person Y was increased by 30%.
Quantity A: The amount of increase in salary of person X.
Quantity B: The amount of increase in salary of person Y.
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 16
The radius of a right cylindrical tank is 3 centimeters, and its capacity is 1000 cubic centimeters. Given that the volume of water increases by 10% when it freezes, which of the following is closest to the maximum height, in centimeters, to which the cylinder can be filled with water so that when the water freezes, the ice would not rise above the top of the tank? (Assume the value of pi = 3.14)
(A) 30.19
(B) 31.85
(C) 32.17
(D) 35.39
(E) 36.98
Question 17
In 2010, 12% of the world’s population used social media. By 2020, that percentage had grown to 36%. What was the percentage increase in the fraction of world’s population that used social media?
(A) 20%
(B) 24%
(C) 200%
(D) 240%
(E) 300%
Question 18
In 2010, 12% of the world’s population used social media. In 2020, 36% of the world’s population used social media.
Quantity A: Percentage increase in the number of social media users?
Quantity B: 200%
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 19
Andrew ate at a food truck and paid a tip that was 20% of his bill amount. The amount of tip that Andrew paid was less than $5. Which of the following must be true?
Indicate all such statements.
(A) The bill amount was less than $30.
(B) The bill amount was less than $20.
(C) The bill amount was more than $10.
Question 20
In a certain company, the number of males in 2020 was 20% more than the number of males in 2019. What is the ratio of the number of males in 2020 to the number of males in 2019?
(A) 1:5
(B) 5:6
(C) 6:5
(D) 5:1
(E) 20:1
Question 21
John bought a car for $6,000. This amount was 30% of his total annual savings.
Quantity A: The remainder of John’s savings
Quantity B: $20,000
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Question 22
Josh got a promotion and a 20% increment in salary. Josh’s old salary is what percent less than his new salary?
(A) 16.67%
(B) 20%
(C) 25%
(D) 80%
(E) 83.33%
Question 23
Downtown’s hamburger is 25 percent less than Btown’s hamburger and 40 percent greater than Uptown’s hamburger. If Uptown’s hamburger is $30, what is the price of Btown’s hamburger?
(A) $52
(B) $53
(C) $54
(D) $55
(E) $56
Question 24
Each dimension of a ‘big’ square was reduced by 20 percent to produce a small square, and then each dimension of the ‘small’ square was further reduced by 15 percent to produce an even ‘smaller’ square. The area of the ‘smaller’ square was what percent of the area of the ‘big’ square?
Give your answer to the nearest percent.
Question 25
If a is 25% of b and if c is 20% of b, where b > 0, then c is what percent of a?