How to find the amount of sales tax - ACT Math

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Question

On a grocery shopping trip you spent $15 on meat, $5 on cheese, and $25 on produce. If the total bill was $48.15, what is the rate of sales tax on the food?

Answer

Tax = Total Bill - Cost of Food = 48.15 – (15 + 5 + 25) = $3.15

Percentage of Tax = Tax / Cost of Food = 3.15/ (15 + 5 + 25) = 3.15 / 45 = 0.07 = 7%

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Question

Regular sales tax is . Saturday is a tax free day that applies to clothes. You want to buy a pair of jeans that are , a pair of shoes that are , and a new shirt that costs . How much money will you save if you want to go shopping on Saturday?

Answer

Total cost = $120 + $45 + $75 = $240

Cost of Sales Tax = 8.25% ($240) = 0.0825 ($240) = $19.80

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Question

Beth purchased $21.25 worth of groceries. The sales tax rate is 7.5%. What was her total bill?

Answer

The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

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Question

Before tax is calculated, Billy's bill at a restaurant is $50.00. If sales tax is 8%, how much tax does he pay?

Answer

You evaluate $50.00 x (0.08) = $4.00

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Question

The last week of August is tax-free week. If the standard tax rate is 8.25%, how much money would a shopper save buying a $50 dress and a $30 pair of shoes during tax free week?

Answer

Tax = Total Cost * 0.0825 = (50 + 30) * 0.0825 = (80) x 0.0825 = 6.6 = $6.60

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Question

If a stick of deodorant costs $4.29 with a sales tax of 8.75%. What will the total cost of the item be?

(round to the nearest cent)

Answer

To solve for the tax charged multiply 0.0875 by the sales price of $4.29.

This is $0.375375. Add this to the original amount of $4.29.

The answer is 4.665375. Rounded to the nearest cent is $4.67

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Question

Jim buys a pair of shoes for , including tax. If the shoes were priced at , what percentage tax rate was he charged?

Answer

Step 1: Find the amount of tax tax paid

Jim paid including tax for shoes that were pre-tax. Therefore:

Jim paid in tax.

Step 2: Figure out the tax rate (What percentage of is ?)

Set up a proportion and solve for :

Therefore, Jim paid an tax on the shoes he purchased.

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Question

The total cost of a new boat, inclusive of sales tax, was . If the sales tax rate is , what was the original price of this boat before sales tax?

Answer

The easiest way to do this is to write out the equation as though you were solving from the original price to find the final price. You would know that:

or

Solving for , you get:

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Question

If a given locality charges sales tax, what is the total price for purchasing an item that costs before tax? Round to the nearest cent.

Answer

If a given locality charges sales tax, what is the total price for purchasing an item that costs before tax?

First, convert to . Then, multiply this by to get dollars. Add this to the original price to get . This rounds to .

Another way to do this is to multiply to get the same amount.

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Question

Sarah is buying a shirt that she likes. The shirt costs but there is an sales tax. How much does Sarah pay for the shirt in total, after sales tax is added? (Round to the nearest cent.)

Answer

To find how much total is payed for an item after sales tax, conver the sales tax to a decimal and add it to 1, then multiply that total to the price of the item.

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