GRE Math : How to find fractional percentages

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Example Question #1 : Percentage

What percentage of a solution is blood if it contains 1.4 ml blood and 8417 ml water? Round to the nearest thousandth?

Possible Answers:

2.384

0.016

1.673

0.144

0.017

Correct answer:

0.017

Explanation:

First, you must find the total amount of solution. This is 1.4+8417 , or 8418.4 .

Now, the percentage of the solution that is blood can be represented:

$\frac{1.4}{8418.4}$ , or 0.00016630238525

This is the same as 0.016630238525 % Rounded, it is 0.017 %

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Example Question #2 : Percentage

What is the percentage increase of an account that began with a balance of $\$250000$ and increased to $\$250005$ ?

Possible Answers:

$1.011\%$

$0.00145\%$

$0.00002\%$

$0.002\%$

$0.0145\%$

Correct answer:

$0.002\%$

Explanation:

Recall that the formula for percentage increase is:

$\frac{(B-A)}{A}$ , where is your ending value and is your starting value.

For our numbers, this would be:

$\frac{250005-250000}{250000}=\frac{5}{250000}=0.00002$

Recall that to find a percentage from a decimal, you multiply by 100 :

$0.00002 \cdot100 = 0.002\%$

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GRE Math : How to find fractional percentages

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 : Percentage

Example Question #2 : Percentage

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