GMAT Math : Calculating percents

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Example Question #51 : Percents

Anthony is trying to decide if he should use a coupon for $\$ 20$ off or a coupon for a % discount on the same item. The item costs $\$145$ before any discounts are applied. Which coupon will save him the most money?

Possible Answers:

$\$ 20$ off coupon

The % discount code

Both will save Anthony the same amount

Correct answer:

The % discount code

Explanation:

In order to solve this problem we need to know how much he'll be saving when he uses each:

We already know he can save $\$ 20$ with a coupon but what about the discount code?

(0.15)(145)=21.75

So, using the discount code he would save $\$1.75$ more than using the coupon

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Example Question #52 : Percents

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are red?

Possible Answers:

$10\%$

$40\%$

$50\%$

$20\%$

$60\%$

Correct answer:

$40\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are red and then convert the fraction to a percent.

$\% \textup{red }= \frac{32}{32+40+8}=\frac{32}{80}=\frac{4}{10}=40\%$

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Example Question #53 : Percents

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are blue?

Possible Answers:

$10\%$

$30\%$

$60\%$

$50\%$

$40\%$

Correct answer:

$50\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are blue and then convert the fraction to a percent.

$\% \textup{blue}= \frac{40}{32+40+8}=\frac{40}{80}=\frac{5}{10}=50\%$

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Example Question #54 : Percents

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are green?

Possible Answers:

$10\%$

$50\%$

$20\%$

$40\%$

$30\%$

Correct answer:

$10\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are green and then convert the fraction to a percent.

$\% \textup{green} = \frac{8}{32+40+8}=\frac{8}{80}=\frac{1}{10}=10\%$

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Example Question #51 : Percents

Convert the following fraction into a percent:

$\frac{4}{25}$

Possible Answers:

$4\%$

$16\%$

$8\%$

$60\%$

Correct answer:

$16\%$

Explanation:

To convert a fraction into a percent, you must make the demoniator 100, and then the numerator is the percent. Thus,

$\frac{4}{25}=\left (\frac{4}{25} \right )\left (\frac{4}{4} \right )=\frac{16}{100}=16\%$

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Example Question #52 : Percents

Decrease four fifths by twenty percent. What is the result?

Possible Answers:

$\frac{16}{25}$

$\frac{18}{25}$

None of the other responses gives the correct answer.

$\frac{3}{5}$

$\frac{3}{4}$

Correct answer:

$\frac{16}{25}$

Explanation:

Decreasing a number by 20% is the same as taking $(100-20) \% = 80 \%$ of that number. 80% of $\frac{4}{5}$ is

$\frac{80}{100} \cdot \frac{4}{5} = \frac{320}{500} = \frac{320 \div 20 }{500 \div 20} = \frac{16}{25}$ ,

the correct choice.

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Example Question #57 : Percents

Four fifths is what percent of twenty?

Possible Answers:

$5\%$

$3 \frac{1}{5} \%$

$4 \%$

None of the other responses gives the correct answer.

$4 \frac{4}{5} \%$

Correct answer:

$4 \%$

Explanation:

If $\frac{4}{5}$ is percent of 20, then

$\frac{N}{100} \cdot 20 = \frac{4}{5}$

$\frac{20 N}{100} = \frac{4}{5}$

$\frac{20 N}{100} \cdot \frac{100}{20} = \frac{4}{5} \cdot \frac{100}{20}$

$N = \frac{400}{100} = 4$

Therefore, the correct choice is 4%.

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Example Question #58 : Percents

Increase a number by twenty percent to yield four fifths. What is that number?

Possible Answers:

$\frac{18}{25}$

$\frac{16}{25}$

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

Increasing a number by 20% is the same as taking $(100+20) \% = 120 \%$ of that number, which we will call . 120% of is $\frac{4}{5}$ , so

$\frac{120}{100} \cdot N = \frac{4}{5}$

$\frac{100}{120} \cdot \frac{120}{100} \cdot N = \frac{100}{120} \cdot \frac{4}{5}$

$N = \frac{400}{600} = \frac{400\div 200}{600 \div 200} = \frac{2}{3}$

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Example Question #53 : Percents

Change the following decimal into a percent.

Possible Answers:

$.54\%$

$.0054\%$

$5.4\%$

$54\%$

Correct answer:

$54\%$

Explanation:

To convert a decimal into a percent, simply multiply by 100 . Thus,

$.54*100=54\%$

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Example Question #60 : Percents

Decrease a number by $20\%$ to yield $\frac{4}{5}$ . What is that number?

Possible Answers:

$\frac{5}{6}$

$\frac{7}{8 }$

$\frac{24}{25}$

$1\frac{1}{5}$

Correct answer:

Explanation:

Decreasing a number by $20\%$ is the same as taking $(100-20) \% = 80 \%$ of that number, which we will call . $80\%$ of is $\frac{4}{5}$ , so

$\frac{80}{100} \cdot N = \frac{4}{5}$

$\frac{100}{80} \cdot \frac{80}{100} \cdot N = \frac{100}{80} \cdot \frac{4}{5}$

$N = \frac{400}{400} = 1$

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GMAT Math : Calculating percents

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #51 : Percents

Example Question #52 : Percents

Example Question #53 : Percents

Example Question #54 : Percents

Example Question #51 : Percents

Example Question #52 : Percents

Example Question #57 : Percents

Example Question #58 : Percents

Example Question #53 : Percents

Example Question #60 : Percents

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