**Middle School Number Sense Lesson 107: Money Discounts**

This concept has some important real-world application; it builds upon the

**Mult%**concept. It is one of several consumer-related problems that show up on number sense tests. It appeared

**6 times**this year in middle school, with a median placement at

**question # 30**.

**Like our Facebook Page (**

**https://www.facebook.com/numberdojo/**

**) if you want to see new number sense posts on your wall. I will reward you with a free concept index or flashcard file of your choice. Thank you!**

**Number Dojo Level: 124**

There are two different question types that fall into this category:

- Finding the
*discount*itself, and - Finding the
*sale price*after the discount has been applied

**How to Solve:**

- Multiply the original price by the discount percent (for question type # 1 above)
- Subtract this result from the original price (for question type #2)
- Remember to write your answer with
**2 decimal places**(dollars and cents)—even if the answer is an even dollar amount. It’s a number sense contest rule!

**Example 1: The discount on a $650 HDTV at 20% off is $___**

- Multiply $650 by 20% (with percents, knock off 2 zeros). 65 x 2 =
**130**. - Since we were asked for just the discount itself, the answer is
**130.00**

**Example 2: The selling price of a $90 item on sale for 40% off is $___**

- $90 x 40% = 9 x 4 =
**36**. - 90 – 36 =
**54**. - The answer is
**54.00**

**: It may be easier to subtract the discount from 100% first, and then multiply it by the original price. In this case, the sale price would be (100% - 40%) x $90 = 60% x $90 = 6 x 9 =**

__Note__**54.00**.

**Example 3: The discount on a $2000 item on sale for 40% off is $___**

- $2000 x 40% = 20 x 40 =
**800** - Since we were asked for just the discount itself, the answer is
**800.00**

**Example 4: How much does a $40 item cost on sale for 40% off? $___**

- $40 x 40% = 4 x 4 =
**16** - 40 – 16 =
**24.00**

**Example 5: If a $140 pair of shoes is on sale for 20% off, then the shoes will cost $___**

- $140 x 20% = 14 x 2 =
**28** - 140 – 28 =
**112.00**

**Example 6: How much does an $80 item cost if there is a 30% off sale? $___**

- $80 x 30% = 8 x 3 =
**24** - 80 – 24 =
**56.00**

**Up Next for Middle School: SetsProperImp**