Question

Multiple Choice Monsa purchased shoes that were originally priced at \(\$ 84.00\). On that day, the store was having a \(10 \%\) off sale. The sales tax was \(7 \%\). How much did Monsa pay for the shoes? (Percent Review) (A) \(\$ 70.31\) (B) \(\$ 80.89\) (C) \(\$ 85.93\) (D) \(\$ 98.87\)

Short answer

Monsa paid \(\$80.89\), corresponding to option (B).

Step-by-step solution

Calculate the Discount Amount

First, determine the amount of the discount. Since the original price is \(\\(84\), apply the \(10\%\) discount to this amount. The discount can be calculated as follows: \[ \text{Discount} = \frac{10}{100} \times 84 = \\)8.40 \]

Calculate the Sale Price

Subtract the discount from the original price to find the sale price that Monsa pays before tax: \[ \text{Sale Price} = 84 - 8.40 = \$75.60 \]

Calculate the Sales Tax

Now, add the sales tax to the sale price. The sales tax is \(7\%\) of the sale price. Calculate it as follows: \[ \text{Sales Tax} = \frac{7}{100} \times 75.60 = \$5.292 \]

Calculate the Total Payment

Finally, add the sales tax to the sale price to find the total amount Monsa pays: \[ \text{Total Payment} = 75.60 + 5.292 = \$80.89 \]

Select the Correct Multiple Choice Option

The total amount Monsa paid, \(\$80.89\), corresponds to option (B) in the given multiple-choice answers.

Key concepts

Discount Calculation

When shopping, discounts offer a great opportunity to save money. Calculating a discount involves determining what portion of the original price is subtracted during a sale.
Here's how it works:

• First, identify the original price and the percentage of the discount offered.
• Convert the percentage into decimal form, for example, a 10% discount becomes 0.10.
• Multiply this decimal by the item's original price to find out the discount amount.
• Finally, subtract this discount from the original price to get the sale price.

For instance, if a pair of shoes originally costs $84 and is subject to a 10% discount, the discount amount calculated would be $8.40. Subtracting this from the original price gives you a sale price of $75.60.

Sales Tax Calculation

Once you have your sale price, don't forget about the sales tax. Sales tax is an additional percentage fee imposed on goods by the government, and it varies depending on the location.
To calculate the sales tax:

• Take the sale price, which is the price after discounts have been subtracted.
• Find out the sales tax rate applicable to that region. For instance, if the tax rate is 7%, convert it into a decimal as 0.07.
• Multiply the sale price by this decimal to find out how much sales tax you must pay.
• Add this tax amount to your sale price to determine the final cost you’ll need to pay at checkout.

For an example, if your sale price is $75.60 with a 7% sales tax, you'll calculate $5.292 in tax. Add that to the sale price, and the total is $80.89.

Multiple Choice Questions

Multiple choice questions are a common format for assessing knowledge, often seen in exams. They require you to select the best option from a list of possible answers.
Some useful tips for solving multiple choice questions more effectively include:

• Read each choice carefully before deciding.
• Process of elimination: rule out options that are obviously wrong first.
• Double-check the details given in the problem, such as the specific numbers or percentages involved, to ensure accurate calculations.
• Verify your solution by retracing the steps if time allows.

Using these strategies can help narrow down the options and ensure the correct answer is selected, as in this example, where $80.89 was verified to match option B.