All GMAT Math Resources
Example Question #1 : Calculating Percents
330 is what percent of 11?
This problem can be solved by the equation: , where is the answer in terms of a percentage. To solve for both sides are divided by : . This can be simplified to: . Now is converted to a percentage to find the answer.
as a percentage is
Example Question #2 : Calculating Percents
Three years ago, Anum invested $25,000 in a new mutual fund account. The value of the account increased by 15% during the first year, increased by 7% during the second year, and decreased by 15% during the third year. What is the approximate value of the account today?
The first year increase of 15% can be represented as 1.15; the second year increase of 7% can be represented as 1.07; and the third year decrease of 15% can be represented as 0.85.
Multiply the original investment by each annual change.
25,000(1.15)(1.07)(0.85) = 26,148
Example Question #81 : Arithmetic
Max the cat has 70 toy mice. If 30% of the mice are new, how many mice are not new?
If 30% of the mice are new, then 70% are not new.
Example Question #3 : Calculating Percents
37% of the greatest common factor of 50 and 350 is
The greatest common factor of 50 and 350 is simply 50. Now we must take 37% of 50.
Example Question #83 : Arithmetic
A shirt costs $60. The price was then increased by 30%. What is the new price as expressed in terms of the original price?
Example Question #84 : Arithmetic
A GMAT score increases from 450 to 540. By what percent did the score increase?
Example Question #85 : Arithmetic
Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying?
Divide both sides by 60
Example Question #4 : Calculating Percents
Geri earns a commission of 22.5% on everything she sells for KM Cosmetics. As of the fifteenth of the month, she has sold $2,100 worth of cosmetics. How much more in cosmetics must she sell in order to earn at least $900 commission for the month?
She has already sold enough to earn $900 commission.
Commission can be calculated by muliplying the commission rate - 22.5%, or 0.225 - by the amount of sales, so the amount of sales needed can be found by dividing the desired commission by 0.225.
Since Geri has already sold $2,100 worth of cosmetics, she needs to sell more.
Example Question #5 : Calculating Percents
A number is multiplied by six; then its decimal point is moved to the left three spaces. This is the same as taking what percent of the number?
Let's do these two things to 100. Multiplying 100 by 6 yields 600; moving the decimal point three places left changes 600, or 600.0, to 0.60.
This means that the new number is 0.60% , or %, of the original number.
Example Question #88 : Arithmetic
A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number?
Let's do these two things to 100. Dividing 100 by 2 yields 50; moving the decimal point two places left changes 50, or 50.0, to 0.50.
This means that the new number is 0.50% , or %, of the original number.