SSAT Middle Level Math : Percentage

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

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Example Questions

Example Question #3 : Percentages

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:

\displaystyle \$ 169.36

\displaystyle \$ 168.86

\displaystyle \$ 169.06

\displaystyle \$ 167.26

\displaystyle \$ 168.16

Correct answer:

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

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

Example Question #1 : Percentage

What is 250% of 750?

Possible Answers:

\displaystyle 2,125

\displaystyle 2,250

\displaystyle 2,000

\displaystyle 1,875

\displaystyle 1,750

Correct answer:

\displaystyle 1,875

Explanation:

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

\displaystyle 750 \cdot 2.5 = 1,875

Example Question #1 : Percentage

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

Possible Answers:

\displaystyle 3

\displaystyle 2

\displaystyle 4

\displaystyle 6

\displaystyle 5

Correct answer:

\displaystyle 4

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. 

\displaystyle 12-1 = 11

\displaystyle 6-2=4

\displaystyle 4-3=1

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

Example Question #561 : Concepts

What is 30% of 150?

Possible Answers:

\displaystyle 45

\displaystyle 15

\displaystyle 165

\displaystyle 60

\displaystyle 50

Correct answer:

\displaystyle 45

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:

\displaystyle 150 \times 0.30 = 45

Your answer is \displaystyle 45.

Example Question #1152 : Hspt Mathematics

If \displaystyle 60 is \displaystyle 30\% of \displaystyle x, what is \displaystyle 40\% of \displaystyle x?

Possible Answers:

\displaystyle 80

\displaystyle 50

\displaystyle 400

\displaystyle 180

\displaystyle 1800

Correct answer:

\displaystyle 80

Explanation:

We can solve for \displaystyle x with the algebraic equation:

\displaystyle 0.3\cdot x=60

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

\displaystyle x=200

We can then calculate \displaystyle 40\% of \displaystyle x:

\displaystyle 0.4\cdot200=80

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

What is \displaystyle 40\% of \displaystyle 80?

Possible Answers:

\displaystyle 40

\displaystyle 200

\displaystyle 24

\displaystyle 320

\displaystyle 32

Correct answer:

\displaystyle 32

Explanation:

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

Example Question #3 : Percentage

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:

$37.80

$18.90

$21.00

$20.00

$16.50

Correct answer:

$18.90

Explanation:

The storewide sale discounts the shirt by 50%:

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

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

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

 

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

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

Possible Answers:

\displaystyle 50\frac{5}{8}

\displaystyle 5 \frac{1}{16}

\displaystyle 100

\displaystyle 1

\displaystyle \frac{81}{160}

Correct answer:

\displaystyle 5 \frac{1}{16}

Explanation:

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

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

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

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

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

Example Question #2001 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

\displaystyle 800

\displaystyle 55\frac{5}{9}

\displaystyle 80

\displaystyle 5\frac{5}{9}

\displaystyle 8,000

Correct answer:

\displaystyle 55\frac{5}{9}

Explanation:

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

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

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

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

Cross-cancel:

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

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

Example Question #2 : Percentage

What is 8,000% of 9,000?

Possible Answers:

\displaystyle 720,000

\displaystyle 7,200

\displaystyle 72,000,000

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

\displaystyle 888\frac{8}{9}

Correct answer:

\displaystyle 720,000

Explanation:

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

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

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