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# Quiz - Calculate Percent Answers and Explanations

Are you percent savvy? Check your answers from the Percent Quiz to discover how well you can apply percents to real life.

### 1. Income Tax

Last year, Samir earned \$189,000. If his federal income tax rate was 23%, then what was his disposable income?

A)  \$166,000

B)  \$43,470

C)  \$145,530

D)  \$232,470

1. Find the amount of taxes that Samir will pay.
\$189,000 * .23 = \$43,470

2. Subtract the amount of taxes from Samir's income.
\$189,000 – \$43,470 = \$145,530

Disposable Income:  \$145,530

Heidi, who is a full-time college student, sells Internet ads in her spare time. She earns a 20% commission of her total ad sales. She earns \$24,000 this year. Choose the dollar amount that represents her total ad sales.

A)  \$120,000

B)  \$96,000

C)  \$48,000

D)  \$140,000

What do you know?

20 dollars per 100 of her ad sales is paid to Heidi as a commission;
24,000 dollars per ? of her ad sales is paid to Heidi as a commission

20/100 = 24,000/x

Cross Multiply.
20 * x = 24,000 * 100
20x = 2,400,000

Divide both sides of the equation by 20 to solve for x.
20x/20 = 2,400,000/20
x = \$120,000

### 3. Commission: Real Estate

Tasha, a real estate agent, helped a homeowner sell a house for \$85,000. Tasha earns a 3% commission of the selling price. How much did she earn from the sale?

A)  \$2,550

B)  \$82,450

C)  \$82,000

D)  \$25,500

What do you know?

3 dollars per 100 of the selling price is paid to Tasha as a commission;
? dollars per \$85,000 of the selling price is paid to Tasha as a commission

3/100 = x/85,000

Cross Multiply.
3 * 85,000 = x * 100
255,000 = 100x

Divide both sides of the equation by 100 to solve for x.
255,000/100 = 100x/100
x = \$2,550

### 4. Shoe Sale

Bridget wants to buy a pair of shoes that are on sale for 40% less than the original price. If the original price is \$60, then how much do the shoes cost after the discount?

A)  \$20

B)  \$24

C)  \$40

D)  \$36

Find the discount.

\$60 * .40 = \$24

Subtract the discount from the original price.

\$60 - \$24 = \$36

### 5. Sales Tax

A pencil is on sale for \$0.60. How much does the pencil cost after a 5% sales tax is added?

A)  \$0.65

B)  \$0.63

C)  \$0.92

D)  \$0.81

Calculate the sales tax

\$0.60 * .05 = \$0.03

Add the sales tax to cost of the pencil.

\$0.60 + \$0.03 = \$0.63

### 6. Poll Results

In a recent poll, 85% of the students at Cate High School reported Algebra as their favorite subject. If there are 2,100 students at the school, then how many students reported Algebra as their favorite subject?

A)  2,015

B)  2,085

C)  1,315

D)  1,785

What do you know?
85 students per 100 cite Algebra as their favorite subject;
? students per 2,100 cite Algebra as their favorite subject;

85/100 = x/2,100

Cross Multiply.
85 * 2,100 = x * 100
178,500 = 100x

Divide both sides of the equation by 100 to solve for x.
178,500/100 = 100x/100
1,785 = x

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