Percentage - GRE Quantitative Reasoning
Card 0 of 880
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
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Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantitative Comparison
Quantity A: 10% of $45
Quantity B: 45% of $10
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
Quantity A: .1 * 45 = $4.50
Quantity B: .45 * 10 = $4.50
Therefore the two quantities are equal. This is always true: a% of $b = b% of $a.
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A baker is able to sell doughnut holes made from his doughnuts in groups of 6 for $0.50. If he wastes one hole per dozen doughnuts, how much money does he fail to make when selling the holes that can be packaged from 22 dozen doughnuts?
A baker is able to sell doughnut holes made from his doughnuts in groups of 6 for $0.50. If he wastes one hole per dozen doughnuts, how much money does he fail to make when selling the holes that can be packaged from 22 dozen doughnuts?
Given his waste rate, the baker would waste 22 holes. That is the equivalent 3 2/3 bags; however, since that would leave him with a 1/3 of a bag, the waste really is 4 bags of holes. He therefore fails to make 4 * 0.5 or $2 on this batch of 22 dozen doughnuts and holes.
Given his waste rate, the baker would waste 22 holes. That is the equivalent 3 2/3 bags; however, since that would leave him with a 1/3 of a bag, the waste really is 4 bags of holes. He therefore fails to make 4 * 0.5 or $2 on this batch of 22 dozen doughnuts and holes.
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What number is 150% greater than 6?
What number is 150% greater than 6?
In the problem, 150% of 6 represents the change in the value, not the new value. Percent "greater than" is a key phrase that refers to percent change. Therefore, 9, or 150% of 6, is how much 6 increases. The answer is 6 + 9 = 15.
Formula: Original * (1 + percent increase/100) = New
6(1 + 1.50) = 15
In the problem, 150% of 6 represents the change in the value, not the new value. Percent "greater than" is a key phrase that refers to percent change. Therefore, 9, or 150% of 6, is how much 6 increases. The answer is 6 + 9 = 15.
Formula: Original * (1 + percent increase/100) = New
6(1 + 1.50) = 15
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What percentage of a solution is blood if it contains 
ml blood and 
ml water? Round to the nearest thousandth?
What percentage of a solution is blood if it contains
First, you must find the total amount of solution. This is 
, or 
.
Now, the percentage of the solution that is blood can be represented:
, or 
This is the same as 
% Rounded, it is 
%
First, you must find the total amount of solution. This is
Now, the percentage of the solution that is blood can be represented:
This is the same as
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30 is 
percent of 210
20 is 
percent of 160
Quantity A: 
Quantity B: 
30 is
20 is
Quantity A:
Quantity B:
To attempt this problem, translate the statements into mathematical equations. When you see the word 'is', it very often means 'equals:
30 is 
percent of 210:
20 is 
percent of 160:
Since Quantity A has the smaller denominator with an equivalent numerator, it is the larger value. Quantity A is greater.
To attempt this problem, translate the statements into mathematical equations. When you see the word 'is', it very often means 'equals:
30 is
20 is
Since Quantity A has the smaller denominator with an equivalent numerator, it is the larger value. Quantity A is greater.
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By what percentage did the total book sales of the three stores increase from 2005 to 2010?
By what percentage did the total book sales of the three stores increase from 2005 to 2010?
Find the total number of books sold in 2005: 8 + 12 + 10 = 30 thousand
Find the total number of books sold in 2010: 11 + 13 + 12 = 36 thousand
Find the total number of books sold in 2005: 8 + 12 + 10 = 30 thousand
Find the total number of books sold in 2010: 11 + 13 + 12 = 36 thousand
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How much does a sweater cost that is 18% more than a $50 dress?
How much does a sweater cost that is 18% more than a $50 dress?
18% of the dress is .18 * 50 = $9. Then the sweater costs $50 + $9 = $59.
18% of the dress is .18 * 50 = $9. Then the sweater costs $50 + $9 = $59.
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Column A: 
Column B: 
Column A:
Column B:
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
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is 
percent of 
is 
percent of 
Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
To do this problem, translate each expression into mathematical terms:
is 
percent of 
:
is 
percent of 
:
Quantity B is greater.
To do this problem, translate each expression into mathematical terms:
Quantity B is greater.
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Quantity A: 20% of 
Quantity B: 30% of 
Quantity A: 20% of
Quantity B: 30% of
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of 
Quantity B: 30% of 
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
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Billy scored a 
on his last math exam. If there were one hundred questions on the test, what is the ratio of his correct answers to total questions? Express the answer as a fraction, and simplify.
Billy scored a
This problem is fairly simple. If we know he scored a 
, then we know that he got 
correct answers.
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
.
This problem is fairly simple. If we know he scored a
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
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Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by 
, so now you may simplify:
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by
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Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
%
Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by 
, so you can simplify to:
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by
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Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
%
Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
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Choose the answer which best converts the following percentage into a fraction:
%
Choose the answer which best converts the following percentage into a fraction:
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by 
, so you can simplify:
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by
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Column A:
Column B:
Column A:
Column B:
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
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is percent of
is percent of
Quantity A:
Quantity B:
Quantity A:
Quantity B:
To do this problem, translate each expression into mathematical terms:
is percent of :
is percent of :
Quantity B is greater.
To do this problem, translate each expression into mathematical terms:
Quantity B is greater.
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Quantity A: 20% of
Quantity B: 30% of
Quantity A: 20% of
Quantity B: 30% of
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
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Billy scored a on his last math exam. If there were one hundred questions on the test, what is the ratio of his correct answers to total questions? Express the answer as a fraction, and simplify.
Billy scored a
This problem is fairly simple. If we know he scored a , then we know that he got correct answers.
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
.
This problem is fairly simple. If we know he scored a
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
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