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# Percent Change - Percent Decrease

Percent increase and percent decrease are the two types of percent change. This article focuses on percent decrease. Answers and Explanations for the Worksheet, Percent Change - Percent Decrease are on this page.

### What is Percent Decrease?

Percent decrease is a ratio that compares 2 values. It describes the decline in value of something by a specific rate. Percent decrease is evident anytime a number or amount decreases.

### When is Percent Decrease Calculated in the Real World?

• A school principal is comparing student attendance from one semester to another.
• A cell phone company is comparing the number of February text messages to March text messages.

Example:  The original price for a bag of apples is \$3. On Tuesday, the bag of apples sells for \$1.80. What is the percent decrease?

Careful, do not find the difference between \$3 and \$1.80 and say that the percent decrease is \$1.20.

Use this formula to find the percent decrease.

Percent decrease = (Older – Newer) ÷ Older.

= (3 – 1.80) ÷ 3

= .40 = 40%

Note: To convert a decimal into a percent, move the decimal point twice and stick a percent sign (%) at the end.

### Percent Decrease is Given

In other situations, the percent decrease is known, but the newer value is unknown.

Example 1: Best Bargain wants to sell a laptop computer for \$600 to Alan. J’s Electronics will sell the computer to Alan for 20% less than Best Bargain.

1. How much money will Alan save when he buys the computer from J’s Electronics instead of Best Bargain?
Multiply .20 and \$600. Alan will save \$120.

2. How much will Alan pay for the computer at J’s Electronics?
\$600 – \$120 = \$480

Example 2:  A dress regularly sells for \$150. A green tag, marked 40% off, is attached to the dress.

1. What is the discount? .40 * \$150 = \$60

2. What is the sale price? \$150 - \$60 = \$90

### Exercises

1. A silk blouse regularly costs \$45. It’s on sale for 33% off.

A. What is the discount? \$15
.33 * \$45 = \$15

B. What is the sale price? \$30
\$45 - \$30

2. A leather purse regularly costs \$84. It’s on sale for 25% off.
A. What is the discount? \$21
.25 * \$84 = \$21

B. What is the sale price? \$63
\$84 - \$21 = \$63

3. A scarf regularly costs \$85. It’s on sale for 15% off.
A. What is the discount? \$12.75
\$85 * .15 = \$12.75

B. What is the sale price? \$72.25
\$85 - 12.75 = \$72.25

4. A sundress regularly costs \$30. It’s on sale for 10% off.
A. What is the discount? \$3.00
\$30 * .10

B. What is the sale price? \$27.00
\$30 - \$3.00 = \$27.00

5. A woman’s silk romper regularly costs \$250. It’s on sale for 40% off.
A. What is the discount? \$100
\$250 * .40 = \$100

B. What is the sale price? \$150
\$250 - \$100 = \$150

6. A pair of women’s platform heels regularly costs \$90. It’s on sale for 60% off.
A. What is the discount? \$54
\$90 * .60 = \$54

B. What is the sale price? \$36
\$90 - \$54 = \$36

7. A floral skirt regularly costs \$240. It’s on sale for 50% off.
A. What is the discount? \$120
\$240 * .50 = \$120

B. What is the sale price? \$120
\$240 - \$120 = \$120

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