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ISEE Middle Level Math : How to find the part from the whole with percentage

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6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Part From The Whole With Percentage

$\displaystyle 65$ is $12.5\%$ $\displaystyle 12.5\%$ of what number?

Possible Answers:

530 $\displaystyle 530$

420 $\displaystyle 420$

500 $\displaystyle 500$

480 $\displaystyle 480$

520 $\displaystyle 520$

Correct answer:

520 $\displaystyle 520$

Explanation:

If $\displaystyle 65$ is $12.5\%$ $\displaystyle 12.5\%$ of a number, $\displaystyle N$, then we can set up an equation. First, we convert $12.5\%$ $\displaystyle 12.5\%$ to a decimal, 0.125 $\displaystyle 0.125$. Then, we can formulate the equation below.

$\displaystyle 65 = 0.125N$

Solve for $\displaystyle N$ by dividing both sides of the equation by 0.125 $\displaystyle 0.125$.

$\frac{0.125N}{0.125}=\frac{65}{0.125}$ $\displaystyle \frac{0.125N}{0.125}=\frac{65}{0.125}$

N = 520 $\displaystyle N = 520$

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Example Question #1 : How To Find The Part From The Whole With Percentage

Which is larger?

a. 10% of 90

b. 5% of 160

c. 20% of 50

d. 30% of 40

Possible Answers:

$\displaystyle a$

$\displaystyle c$

$\displaystyle b$

$\displaystyle d$

Correct answer:

$\displaystyle d$

Explanation:

First find the percentage amount for each choice by multiplying the number by the percentage amount

a. $90\ast .10=9$ $\displaystyle 90\ast .10=9$

b. $160\ast .5=8$ $\displaystyle 160\ast .5=8$

c. $50\ast .20=10$ $\displaystyle 50\ast .20=10$

d. $40 \ast .30= 12$ $\displaystyle 40 \ast .30= 12$

Then compare the amounts to find the largest.

The answer is (d) 12.

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Example Question #4 : How To Work With Percentages

A laptop computer is on sale for 40% less than the original price. If the original price is $345.00, what is the laptop's current sale price?

Possible Answers:

305.00 $\displaystyle 305.00$

207.00 $\displaystyle 207.00$

385.00 $\displaystyle 385.00$

138.00 $\displaystyle 138.00$

Correct answer:

207.00 $\displaystyle 207.00$

Explanation:

First, multiply the original price by the sale percentage:

$\displaystyle 345 *.40=138$

Then, subtract that amount from the original price to get the sale price:

$\displaystyle 345-138=207$.

The laptop's current sale price is $\$ 207.00$ $\displaystyle \$ 207.00$

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Example Question #5 : How To Work With Percentages

Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00?

Possible Answers:

$\$8.00$ $\displaystyle \$8.00$

$\$16.65$ $\displaystyle \$16.65$

$\$82.50$ $\displaystyle \$82.50$

$\$28.35$ $\displaystyle \$28.35$

Correct answer:

$\$28.35$ $\displaystyle \$28.35$

Explanation:

First, multiply 45 by 0.37:

$\displaystyle 45 * .37=16.65$

Then, subtract that amount from 45.00 to find the sale price:

$\displaystyle 45-16.65=28.35$

Answer: The dress' sale price is $28.35.

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Example Question #1 : How To Find The Part From The Whole With Percentage

A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?

Possible Answers:

$\$82.00$ $\displaystyle \$82.00$

$\$50.00$ $\displaystyle \$50.00$

$\$42.00$ $\displaystyle \$42.00$

$\$49.60$ $\displaystyle \$49.60$

Correct answer:

$\$49.60$ $\displaystyle \$49.60$

Explanation:

Multiply: $\displaystyle 62 * .20=12.40$

Then, subtract that amount from the original price:

$\displaystyle 62-12.40=49.60$

Answer: $49.60

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Example Question #862 : Numbers And Operations

Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $ $\small $45$ $\displaystyle \small $45$ and the beanie cost $ $\small 12$ $\displaystyle \small 12$, how much did Candy spend?

Possible Answers:

$ $\small 45.30$ $\displaystyle \small 45.30$

$ $\small 45.80$ $\displaystyle \small 45.80$

$ $\small $45.60$ $\displaystyle \small $45.60$

$ $\small 45.70$ $\displaystyle \small 45.70$

$ $\small 11.40$ $\displaystyle \small 11.40$

Correct answer:

$ $\small $45.60$ $\displaystyle \small $45.60$

Explanation:

In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount. We do this by adding the prices together.

$\small 45+12=57$ $\displaystyle \small 45+12=57$

Next we must find 20% of $57.00.

$\small .20\cdot 57=11.40$ $\displaystyle \small .20\cdot 57=11.40$

Since 20% is the percentage Candy saved, we must subtract $11.40 from the original price.

$\small 57-11.4=45.60$ $\displaystyle \small 57-11.4=45.60$

So Candy spent $45.60.

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Example Question #2 : How To Find The Part From The Whole With Percentage

75 is 60% of what number?

Possible Answers:

$\displaystyle 60$

150 $\displaystyle 150$

$\displaystyle 45$

105 $\displaystyle 105$

125 $\displaystyle 125$

Correct answer:

125 $\displaystyle 125$

Explanation:

Set up the proportion statement and solve for $\displaystyle N$ by cross-multiplying:

$\frac{75}{N}= \frac{60}{100}$ $\displaystyle \frac{75}{N}= \frac{60}{100}$

$N \cdot 60 = 75 \cdot 100 = 7,500$ $\displaystyle N \cdot 60 = 75 \cdot 100 = 7,500$

$N \cdot 60 \div 60 = 7,500\div 60$ $\displaystyle N \cdot 60 \div 60 = 7,500\div 60$

N = 125 $\displaystyle N = 125$

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Example Question #3 : Percentages

What is 120% of 120?

Possible Answers:

144 $\displaystyle 144$

125 $\displaystyle 125$

150 $\displaystyle 150$

124 $\displaystyle 124$

140 $\displaystyle 140$

Correct answer:

144 $\displaystyle 144$

Explanation:

Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:

$120.0\% = 1.20 = 1.2$ $\displaystyle 120.0\% = 1.20 = 1.2$

Multiply this by 120:

$120 \times 1.2 = 144$ $\displaystyle 120 \times 1.2 = 144$

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Example Question #2 : How To Find The Part From The Whole With Percentage

What is 225% of 225?

Possible Answers:

281.25 $\displaystyle 281.25$

450 $\displaystyle 450$

562.5 $\displaystyle 562.5$

506.25 $\displaystyle 506.25$

100 $\displaystyle 100$

Correct answer:

506.25 $\displaystyle 506.25$

Explanation:

Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:

$225.0\% = 2.25$ $\displaystyle 225.0\% = 2.25$

Multiply this by 225:

$225 \times 2.25= 506.25$ $\displaystyle 225 \times 2.25= 506.25$

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Example Question #2 : How To Find The Part From The Whole With Percentage

What is 77% of 77?

Possible Answers:

53.9 $\displaystyle 53.9$

49.49 $\displaystyle 49.49$

100 $\displaystyle 100$

59.29 $\displaystyle 59.29$

$\displaystyle 49$

Correct answer:

59.29 $\displaystyle 59.29$

Explanation:

Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:

$77.0\% = 0.77$ $\displaystyle 77.0\% = 0.77$

Multiply this by 77:

$77 \times 0.77 = 59.29$ $\displaystyle 77 \times 0.77 = 59.29$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find the part from the whole with percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #4 : How To Work With Percentages

Example Question #5 : How To Work With Percentages

Example Question #1 : How To Find The Part From The Whole With Percentage

Example Question #862 : Numbers And Operations

Example Question #2 : How To Find The Part From The Whole With Percentage

Example Question #3 : Percentages

Example Question #2 : How To Find The Part From The Whole With Percentage

Example Question #2 : How To Find The Part From The Whole With Percentage

All ISEE Middle Level Math Resources

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