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Algebra 1 : Monetary Percentage

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Example Questions

Example Question #31 : Monetary Percentage

You go shopping and buy a shirt for $15. The sales tax is 8% of your total purchase. How much sales tax do you pay?

Possible Answers:

$\$1.20$

$\$37$

$\$12$

$\$16.20$

$\$4$

Correct answer:

$\$1.20$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item. Let's start by working with an example. If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

If we are given the total cost of an item or group of items and the pre-tax cost of the good(s), then we can calculate the sales tax percentage of the total cost. First, we need to subtract the pre-tax value from the total cost of the purchase. Next, we need to create a ratio of the sales tax to the pre-tax cost off the items. Last, we need to create a proportion where the pre-tax cost is related to 100% and solve for the percentage of the sales tax. Let's start by working through an example. If a person pays $245.64 for groceries that cost $220.00 pre tax, then what is the sales tax percentage for the items.

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

To find the sales tax you pay, you take the amount of the shirt and multiply it by the percent of sales tax.

$\$15 \cdot 8\%$

$\$15 \cdot 0.08$

$\$1.20$

Therefore, the amount of sales tax you pay is $1.20.

Report an Error

Example Question #2691 : Algebra 1

If sales tax is 8%, find the sales tax on a purchase of $24.69. If necessary, round your answer to the nearest hundredths.

Possible Answers:

$\$1.98$

$\$1.97$

$\$2.40$

$\$19.75$

$\$2.39$

Correct answer:

$\$1.98$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

To find the sales tax on a purchase, you multiply the sales tax percentage by the amount of the purchase.

$\text{sales tax} = 8\% \cdot \$24.69$

$\text{sales tax} = 0.08 \cdot \$24.69$

$\text{sales tax} = \$1.9752$

When we round to the nearest hundredths, we get

$\text{sales tax} = \$1.98$

Therefore, the amount of sales tax is $1.98.

Report an Error

Example Question #33 : Monetary Percentage

What is the sales tax of a candy bar if the candy bar cost three dollars and the tax percentage is three percent?

Possible Answers:

$\$0.12$

$\$0.39$

$\$3.09$

$\$0.09$

$\$0.01$

Correct answer:

$\$0.09$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

The total sales tax is tax rate is applied to the cost of the candy bar.

Write the expression that represents the tax rate times the cost of the candy bar.

$3\% \cdot \$3$

A percentage is some number out of 100 parts. We can rewrite this in the form of a fraction or decimal.

Rewrite the expression as a decimal by removing the percentage and moving the decimal place two spaces back.

$3\% \cdot \$3 = 0.03 (\$3) = \$0.09$

The sales tax is: $\$0.09$

Report an Error

Example Question #34 : Monetary Percentage

You go to a store and your total comes to $45.57. If sales tax is 8%, find the amount of sales tax you will pay. If necessary, round to the nearest hundredth.

Possible Answers:

$\$5.70$

$\$3.64$

$\$5.69$

$\$3.60$

$\$3.65$

Correct answer:

$\$3.65$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

To find the sales tax of a total, you multiply the total by the sales tax percentage. So,

$\text{sales tax} = \$45.57 \cdot 8\%$

$\text{sales tax} = \$45.57 \cdot 0.08$

$\text{sales tax} = \$3.6456$

The question said to round to the nearest hundredths. So we get

$\text{sales tax} = \$3.65$

Report an Error

Example Question #35 : Monetary Percentage

You go shopping, and your total purchase is $125.67. The sales tax is 7%. How much do you pay in sales tax? If necessary, round your answer to the nearest cent.

Possible Answers:

$\$87.97$

$\$8.80$

$\$17.95$

$\$1.79$

$\$8.79$

Correct answer:

$\$8.80$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

To find the amount of sales tax, we will multiply the total purchase by the sales tax percent.

$\text{sales tax} = \$125.67 \cdot 7\%$

$\text{sales tax} = \$125.67 \cdot 0.07$

$\text{sales tax} = \$8.7969$

When we round to the nearest cent, we get

$\text{sales tax} = \$8.80$

Report an Error

Example Question #36 : Monetary Percentage

Jeff has $225 on hand and wants to spend it in a store where the state charges 7% sales tax. What is the maximum amount worth of goods before tax that he can purchase?

Possible Answers:

$\$ 210.28$

$\$214.30$

$\$209.25$

$\$218.00$

$\$224.93$

Correct answer:

$\$ 210.28$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

If we let be the price of the goods before tax, then the sales tax is 7% of this, or 0.07x . Add this to the price of the goods before tax to get the amount spent including tax:

$x + 0.07 x = \$225$

$1.07 x = \$225$

$1.07 x\div 1.07 = \$ 225 \div 1.07$

$x = \$ 225 \div 1.07$

$x= \$ 225 \div 1.07 = \$210.28$ , the correct choice.

Report an Error

Example Question #37 : Monetary Percentage

If Mark bought a burger for $\$2.50$ , and the sales tax was $90\%$ , what was the sales tax he had to pay?

Possible Answers:

$\$2.10$

$\$2.15$

$\$2$

$\$2.25$

$\$0.25$

Correct answer:

$\$2.25$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

Convert $90\%$ to a fraction. Simply remove the percentage sign and divide this number by 100.

$90\% = \frac{90}{100}$

Reduce this fraction.

$\frac{90}{100} = \frac{9}{10}$

Multiply this fraction with the cost of the burger to find the sales tax.

$\$2.50 \cdot \frac{9}{10} = \frac{22.5}{10}$

Dividing a number by ten will shift the decimal place of the numerator to the left once.

The answer is: $\$2.25$

Report an Error

Example Question #2692 : Algebra 1

Food Tiger is advertising cases of 12 cans of Generic Cola at $3.49 each or three cases for $9.00. The sales tax in the state in which it is located is 6%, If six cases of cola are purchased, then how much, including sales tax, will be paid for the cola?

Possible Answers:

$\$18.60$

$\$19.68$

$\$22.20$

$\$ 19.08$

$\$16.92$

Correct answer:

$\$ 19.08$

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

Six cases of cola will be purchased at the special price of three for $9.00 at a total of

$\frac{6}{3} \times \$9.00 = \$ 18.00$

before tax.

The sales tax on the soda will be 6% of this, or

$\$ 18.00 \times 6 \% = \$ 18.00 \times 0.06 = \$1.08$

Add this to the price:

$\$ 18.00 + \$1.08 = \$ 19.08$

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Example Question #39 : Monetary Percentage

Food Plus is advertising two-liter bottles of Delicious Soda for $1.69 each. They are also advertising two-liter bottles of Tasty Soda for $1.89 each, or three for $4.50.

Randy wants to purchase twelve two-liter bottles of soda. He does not care whch brand he purchases, since he thinks they taste the same. Taking into account the fact that the rate of sales tax is 7%, which brand of soda can Randy purchase more cheaply, and how much will he save?

Possible Answers:

The Delicious Soda costs $2.40 less

Insufficient information is given to answer the question

The Tasty Solda costs $2.44 less

The Tasty Solda costs $2.28 less

The Delicious Soda costs $2.57 less

Correct answer:

The Tasty Solda costs $2.44 less

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

12 bottles of Delicious Soda will cost

$12 \times \$ 1.69 = \$20.28$

The sales tax is 7% of this, or

$\$20.28 \times 0.07 = \$ 1.42$

After tax, the cost is

$\$20.28 + \$ 1.42 = \$21.70$

12 bottles of Tasty Soda will be purchased at the three-for-$4.50 rate, so they will cost

$\frac{12}{3} \times \$ 4 .50= \$ 18.00$

The sales tax is 7% of this, or

$\$18.00 \times 0.07 = \$ 1.26$

After tax, the cost is

$\$ 18.00 + \$1.26 = \$19.26$

This makes the Tasty Soda less expensive by

$\$21.70 - \$19.26 = \$ 2.44$

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Example Question #40 : Monetary Percentage

Sandy wants to buy a pair of shoes in one of two stores. Simon's, which is in her own state, charges $150, plus 6% sales tax. Garfunkel's, which is just across the border in another state, charges $175, and no sales tax. In which store would the shoes be cheaper, and by how much?

Possible Answers:

She would save $14.50 by going to Garfunkel's

She would save $16 by going to Simon's

She would save $16 by going to Garfunkel's

She would save $14.50 by going to Simon's

She would pay the same amount regarless of what store she chose

Correct answer:

She would save $16 by going to Simon's

Explanation:

How to calculate the amount of sales tax?

Convert tax percentage into a decimal by moving the decimal point two spaces to the left.
Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.
Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

$6\% \rightarrow 0.06$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.06\times\$2.35$

$\textup{Sales tax}=\$0.141$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$0.14$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$2.35+\$0.14$

$\textup{Total cost}=\$2.49$

Calculating the sales tax percentage of a total:

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

$\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}$

$\textup{Sales tax}=\$245.64-\$220.00$

$\textup{Sales tax}=\$25.64$

Next, create a ratio of the sales tax to the pre-tax cost of the items.

$\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}$

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

$\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}$

Cross multiply and solve.

$\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%$

$\$220.00\times\textup{Sales tax percentage}=\$2564.00$

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

$\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}$

$\textup{Sales tax percentage}=11.6545455\%$

Round to two decimal places since our answer is in dollars and cents.

$\textup{Sales tax percentage}=11.65\%$

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

$11.6545455\% \rightarrow 0.116545455$

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

$\textup{Sales tax}=0.116545455\times\$220.00$

$\textup{Sales tax}=\$25.6400001$

Round to two decimal places since our total is in dollars and cents.

$\textup{Sales tax}=\$25.64$

Last, add this value to the pre-tax value of the item to find the total cost.

$\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}$

$\textup{Total cost}=\$220.00+\$25.64$

$\textup{Total cost}=\$245.64$

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

Simon's charges $150 plus 6% tax, or

$\$ 150 +\$ 150 \times 6 \%$

$= \$150 +\$ 150 \times 0.06$

$= \$ 150 + \$ 9$

$= \$ 159$

Garfunkel's would charge $175, but without sales tax. Nonetheless, Sandy would pay

$\$175 - \$ 159 = \$ 16$

more by going to Garfunkel's.

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Algebra 1 : Monetary Percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #2691 : Algebra 1

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #33 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #34 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #35 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #36 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #37 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #2692 : Algebra 1

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #39 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

Example Question #40 : Monetary Percentage

How to calculate the amount of sales tax?

Calculating sales tax at time of purchase:

Calculating the sales tax percentage of a total:

Solution:

All Algebra 1 Resources

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