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

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

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Example Questions

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

The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?

Possible Answers:

$\$ 168.86$

$\$ 169.06$

$\$ 168.16$

$\$ 169.36$

$\$ 167.26$

Correct answer:

$\$ 168.86$

Explanation:

Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.

Tax: $\$154.92 \cdot 0.09 \approx \$13.94$

Price after tax: $\$154.92 + \$13.94 =\$168.86$

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

What is 250% of 750?

Possible Answers:

1,750

2,250

2,000

2,125

1,875

Correct answer:

1,875

Explanation:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

$750 \cdot 2.5 = 1,875$

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

The product of two whole numbers is 12. Their difference could be

Possible Answers:

Correct answer:

Explanation:

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs.

12-1 = 11

6-2=4

4-3=1

The difference could be 1, 4, or 11. Only 4 is an answer choice.

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

What is 30% of 150?

Possible Answers:

165

Correct answer:

Explanation:

One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:

30% = 0.30

Then, multiply this number times 150:

$150 \times 0.30 = 45$

Your answer is .

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

If is $30\%$ of , what is $40\%$ of ?

Possible Answers:

1800

400

180

Correct answer:

Explanation:

We can solve for with the algebraic equation:

$0.3\cdot x=60$

$x=\frac{60}{0.3}$

x=200

We can then calculate $40\%$ of :

$0.4\cdot200=80$

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Example Question #3 : How To Find The Part From The Whole With Percentage

What is $40\%$ of ?

Possible Answers:

320

200

Correct answer:

Explanation:

We can convert $40\%$ to $\frac{40}{100}$ or 0.4 . We can then calculate $0.4\cdot 80=32$ .

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Example Question #4 : How To Work With Percentages

Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.

If Susan wants to by a shirt originally priced at $42, how much will she pay?

Possible Answers:

$16.50

$37.80

$21.00

$20.00

$18.90

Correct answer:

$18.90

Explanation:

The storewide sale discounts the shirt by 50%:

$.5\times \$42=\$21$

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

$.9\times \$21=\$18.90$

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Example Question #4 : How To Find The Part From The Whole With Percentage

What is $22 \frac{1}{2} \%$ of $22 \frac{1}{2}$ ?

Possible Answers:

$50\frac{5}{8}$

$5 \frac{1}{16}$

100

$\frac{81}{160}$

Correct answer:

$5 \frac{1}{16}$

Explanation:

$22 \frac{1}{2} \%$ of $22 \frac{1}{2}$ can be rewritten as

$\frac{22 \frac{1}{2} }{100} \times 22 \frac{1}{2}$

$= \frac{45}{2} \times \frac{1}{100} \times \frac{45}{2}$

$= \frac{45 \times 1 \times 45}{2 \times 100 \times 2}$

$= \frac{2,025}{400} = \frac{2,025 \div 25}{400\div 25} = \frac{81}{16} = 5 \frac{1}{16}$

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Example Question #5 : Percentage

What is $8\frac{1}{3} \%$ of $666 \frac{2}{3}$ ?

Possible Answers:

8,000

$5\frac{5}{9}$

$55\frac{5}{9}$

800

Correct answer:

$55\frac{5}{9}$

Explanation:

$8\frac{1}{3} \%$ of $666 \frac{2}{3} \%$ is equal to:

$\frac{8 \frac{1}{3} }{100} \times 666 \frac{2}{3} \%$

$= \frac{ \frac{25}{3} }{100} \times \frac{2,000}{3}$

$= \frac{25}{3} \times \frac{1 }{100} \times \frac{2,000}{3}$

Cross-cancel:

$\frac{25}{3} \times \frac{1 }{1} \times \frac{20}{3}$

$= \frac{500}{9} = 55\frac{5}{9}$

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Example Question #3 : How To Find The Part From The Whole With Percentage

What is 8,000% of 9,000?

Possible Answers:

7,200

$8,888\frac{8}{9}$

720,000

72,000,000

$888\frac{8}{9}$

Correct answer:

720,000

Explanation:

Taking 8,000%, as a decimal, is equivalent to multiplying it by $8,000 \div 100 = 80$ , so 8,000% of 9,000 is equivalent to

$80 \times 9,000 = 720,000$ .

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

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

All SSAT 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 #2 : How To Find The Part From The Whole With Percentage

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

Example Question #3 : How To Find The Part From The Whole With Percentage

Example Question #4 : How To Work With Percentages

Example Question #4 : How To Find The Part From The Whole With Percentage

Example Question #5 : Percentage

Example Question #3 : How To Find The Part From The Whole With Percentage

All SSAT Middle Level Math Resources

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