Problem Page Try Again the Price of an Item Has Been Reduced by . The Original Price Was .
Learn About Calculating Pct Increase And Subtract With The Following Examples And Interactive Exercises.
Trouble: In a video store, a DVD that sells for $15 is marked "ten% off." What is the discount? What is the auction price of the DVD?
Analysis: Stores oft sell appurtenances for a discounted price. Typically, a shop will discount an particular by a per centum of the original toll. In this trouble, an detail that originally costs $15 is being discounted past 10%. So "10% off" refers to the charge per unit of disbelieve. To solve this problem, we need a procedure.
Procedure:
- The rate is unremarkably given equally a percent.
- To find the discount, multiply the rate by the original cost.
- To find the sale price, subtract the discount from original price.
At present that nosotros have a procedure, we tin solve the trouble above.
Problem: In a video store, a DVD that sells for $15 is marked, "10% off". What is the discount? What is the sale price of the DVD?
Solution: The charge per unit is ten%.
The discount is: 0.ten ten $15.00 = $1.fifty
The sale price is calculated as follows:
| $fifteen.00 | original price |
| - ane.50 | -discount |
| $13.50 | sale price |
Answer: The discount is $one.50 and the sale price is $13.50.
Let's take a await at some more examples of calculating discount and sale price.
Example 1: In a section store, a $twoscore dress is marked, "Relieve 25%." What is the discount? What is the sale price of the dress?
Analysis: The phrase, "Relieve 25%," refers to the rate.
The original price of the dress is $twoscore.
Solution: The rate is 25%.
The discount is: 0.25 x $40.00 = $x.00
The sale cost is calculated as follows:
| $40.00 | original price |
| - 10.00 | -discount |
| $30.00 | auction price |
Answer: The discount is $x.00 and the auction price is $xxx.00.
Instance ii: In a grocery store, a $12 example of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the example of soda?
Assay: The phrase, "Get a 20% discount," refers to the rate.
Solution: The charge per unit is 20%.
The discount is: 0.20 x $12.00 = $2.twoscore
The sale price is calculated equally follows:
| $12.00 | original price |
| - ii.twoscore | -discount |
| $ nine.lx | sale price |
Respond: The discount is $2.40 and the sale price is $9.lx.
Instance 3: In a candy store, a $5.00 jar of candy is labeled, "fifty% off." What is the discount? What is the auction price of the jar of candy?
Analysis: The phrase, "50% off," refers to the charge per unit.
Solution: The rate is l%.
The discount is: 0.l ten $five.00 = $2.fifty
The sale cost is calculated as follows:
| $five.00 | original price |
| - two.50 | -discount |
| $2.l | sale price |
Answer: The disbelieve is $2.50 and the sale toll is $2.50.
In Example 3, notation that the discount and the sale toll are the aforementioned corporeality! Practice y'all know what fraction is equal to 50%? Could you take washed this problem using mental math? The phrase, "l% off," is the same as, "1/2 off". So using mental math, yous would get that i-half of $5.00 is $2.50. Permit's look at some other example that uses a fraction.
Example four: A pizzeria has a coupon that reads, "Get
off a $ix.00 cheese pizza." What is the disbelieve? What is the sale price of the cheese pizza?
Analysis: The phrase, " off," refers to the rate. It is expressed equally a fraction.
Solution: The rate is given as the fraction.
The discount is: x $9.00 = $3.00
The sale price is calculated as follows:
| $ix.00 | original cost |
| - 3.00 | -disbelieve |
| $6.00 | sale cost |
Answer: The discount is $iii.00 and the sale toll is $6.00.
Once once again, you could calculate the discount and auction price using mental math. Permit'southward look at some other way of calculating the auction price of an item. Below is a modified version of the problem from the top of this folio.
Example v: In a video shop, a DVD that sells for $xv is marked, "ten% off." What is the sale price of the DVD?
Solution: The charge per unit is ten%. Thus, the customer is paying ninety% for the DVD.
The sale price is: 0.ninety 10 $15.00 = $xiii.50
Answer: The sale price is $thirteen.fifty.
Note that we calculated the auction price in the above problem, but nosotros did not calculate the discount.
Summary: Stores oftentimes sell goods for a discounted cost. Typically, a store will discount an item by a percent of the original price. The rate of discount is usually given every bit a percent, simply may also be given as a fraction. The phrases used for discounted items include, " off," "Save 50%," and "Get a 20% discount."
Procedure:
- To summate the discount, multiply the rate by the original cost.
- To calculate the auction price, decrease the discount from original cost.
Exercises
Directions: Solve each trouble below by entering a dollar amount with cents. For each exercise beneath, click once in the Reply BOX, type in your answer and and then click ENTER. After you click ENTER, a message volition appear in the RESULTS BOX to indicate whether your answer is correct or wrong. To get-go over, click CLEAR.
1. | In a boutique, a $fourteen scarf is marked, "twenty% off." What is the sale price of the scarf? |
| 2. | In an electronics store, a $75 iPod is labeled, "Relieve 15%." What is the sale toll of the iPod? |
| 3. | What is the discount for the iPod in Exercise 2? |
| five. | In a bike store, a $500 bike is marked, "Get a 30% discount." What is the sale toll of the cycle? |
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Source: https://www.mathgoodies.com/lessons/percent/sale_price
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