How to Find Discount, Tax, and Tip? (+FREE Worksheet!)

Learn how to use the percent formula to solve Discount, Tax, and Tip problems in a few simple and easy steps.

How to Find Discount, Tax, and Tip? (+FREE Worksheet!)

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Step-by-step guide to solving Discount, Tax, and Tip problems

  • Discount \(=\) Multiply the regular price by the rate of discount
  • Selling price \(=\) original price \(–\) discount
  • Tax: To find tax, multiply the tax rate by the taxable amount (income, property value, etc.)
  • Tip: To find the tip, multiply the rate by the selling price.

Discount, Tax and Tip – Example 1:

With a \(20\%\) discount, Ella was able to save \($40\) on a dress. What was the original price of the dress?

Solution:

\(20\%\) of \(x= 40, \frac{20}{100} \ × \ x=40, x=\frac{100 \ × \ 40}{ 20}=200 \)

The original price of the dress was \($200\).

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Discount, Tax and Tip – Example 2:

Sophia purchased a sofa for \($340.00\). The sofa is regularly priced at \($400.00\). What was the percent discount Sophia received on the sofa?

Solution:

Use this formula: \(\color{ blue }{ percent = Part ÷ base }\). \(=340 \ ÷ \ 400=0.85=85\%\)
Therefore, the discount is: \(100\% \ – \ 85\%=15\%\)

Discount, Tax, and Tip – Example 3:

Ella and her friends went out to eat at a restaurant. If their bill was \($60.00\) and they gave their server a \(15\%\) tip, how much did they pay altogether?

Solution:

The tip was \(15\%\). To solve \(15\%\) of \(60\) use this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part =\frac{15}{100} \ × \ 60 →\) \(part=\frac{15 \ × \ 60}{100}→\) \(part=\frac{90}{10}→\) \(part\) \(=9 \)

The final amount they paid: \($60.00\) \(+\) \($9.00\) = \($69.00\)

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Discount, Tax and Tip – Example 4:

The selling price of a table is \($400\) and the tax rate is \(6\%\) . What is the final price of the table?

Solution:

Find tax amount: \(6\%\) of \(400\)

To solve \(6\%\) of \(400\) use this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).
\(part\) \(=\frac{6}{100} \ × \ 400 →\) \(part\) \(=\frac{6 \ × \ 400}{100}→\) \(part=\frac{240}{10}→\) \(part=24 \)

The final price of the table is: \($400\) \(+\) \($24\) = \($424\)

Exercises for Solving Discount, Tax and Tip

Find the selling price of each item.

  • Original price of a computer: \($200\)
    Tax: \(10\%\), Selling price:
  • Original price of a computer: \($400\)
    Tax: \(5\%\), Selling price:
  • Original price of a computer: \($500\)
    Tax: \(8\%\), Selling price:
  • Original price of a computer: \($800\)
    Tax: \(25\%\), Selling price:
  • Original price of a computer: \($250\)
    Tax: \(10\%\), Selling price:
  • Original price of a computer: \($1,500\)
    Tax: \(15\%\), Selling price:

Download Discount, Tax and Tip Worksheet

This image has an empty alt attribute; its file name is answer-3.png

Answers

  • \(\color{blue}{$220.00}\)
  • \(\color{blue}{$420.00}\)
  • \(\color{blue}{$540.00}\)
  • \(\color{blue}{$1,000.00}\)
  • \(\color{blue}{$275.00}\)
  • \(\color{blue}{$1,725.00}\)

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