Find the Original Price Before a Discount
Written by Adi Ackerman, Head Teacher
"Find the Original Price Before a Discount" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.RP.A.3.C. If your student is a year younger but already steady on percents, the page still works. You may just need to read the instructions out loud. And if they are older and percent word problems never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: find the original price in 4 problems, such as a jacket that costs $42.00 after 30% off. Answer key included. Part of our percent word problems percents collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with sales tax and discounts, where students multiply by a percent written as a decimal. Use the original price and percent change pages after that, since they divide instead.
What students will practice
- Students will find the original price in 4 discount word problems.
- Students will divide the sale price by its percent of the original, as in 42.00 ÷ 0.7 = 60.00.
- Students will find a whole from a part, as when Lena saves $9.60, which is 12% of the price.
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 6th Grade
Standard: Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
View all 6.RP.A.3.C worksheets →Find this in the curriculum
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FAQ
How do I use this percent word problems worksheet?
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Start with sales tax and discounts, where students multiply by a percent written as a decimal. Use the original price and percent change pages after that, since they divide instead.
What does this worksheet teach?
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Find the original price in 4 problems, such as a jacket that costs $42.00 after 30% off. If an item is 25% off, its sale price is 75% of the original price, so divide the sale price by 0.75 to find the original price. The directions on the page read: Find the original price in each problem. Show your work in the space under each problem. Write the price in dollars and cents. An answer key is included.
Can I use this percent word problems worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade percents, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with percent word problems. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you find the sales tax and total cost?
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Multiply the price by the tax rate written as a decimal, then add. 6% tax on $48.00 is 48.00 × 0.06 = $2.88, so the total is $50.88.
How do you find a sale price after a discount?
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Multiply the price by the percent off and subtract. A $45.00 item at 30% off has a $13.50 discount, so it costs $31.50.
How do you find the original price before a discount?
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Divide the sale price by the percent of the original price that is left. A jacket that costs $42.00 after 30% off is 70% of the original price, so 42.00 ÷ 0.7 = $60.00.
Is there an answer key?
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Yes. All 10 percent word problem sheets have an answer key that shows the work and rounds money to the nearest cent.
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