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

## Step by step guide to solve 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 to the taxable amount (income, property value, etc.)
• Tip: To find tip, multiply the rate to 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 $$200$$.

### 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: $$percent = Part ÷ base$$ $$=340 \ ÷ \ 400=0.85=85\%$$
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: $$60.00$$ $$+$$ $$9.00$$ = $$69.00$$

### 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:

• $$\color{blue}{220.00}$$
• $$\color{blue}{420.00}$$
• $$\color{blue}{540.00}$$
• $$\color{blue}{1,000.00}$$
• $$\color{blue}{275.00}$$
• $$\color{blue}{1,725}$$ #### Effortless Math Educations

1. Lane Kline says:

One of your answers is wrong I believe, the dress was originally $200, not$20.

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