Percent problems: tax, tip and discount worksheet

Grade 7 math, Common Core 7.RP.A.3. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Percent problems: tax, tip and discount

Grade 7 math, Common Core 7.RP.A.3

Solve each problem. Round money to the nearest cent.

1.
Shoes cost $150. They are 20% off, then 8% tax is added to the sale price. What is the final cost?
2.
Shoes cost $50. They are 25% off, then 5% tax is added to the sale price. What is the final cost?
3.
A $60 pair of shoes is on sale for 20% off. What is the sale price?
4.
A $30 jacket is on sale for 50% off. What is the sale price?
5.
A $30 pair of shoes is on sale for 20% off. What is the sale price?
6.
A $25 video game is on sale for 25% off. What is the sale price?
7.
Diego’s family meal costs $69.50. They leave a 15% tip. What is the total?
8.
A $40 jacket is on sale for 10% off. What is the sale price?
9.
Shoes cost $110. They are 50% off, then 8% tax is added to the sale price. What is the final cost?
10.
Priya’s family meal costs $50.50. They leave a 20% tip. What is the total?

Answer key: Percent problems: tax, tip and discount

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

1. $129.60
Sale price: $150.00 × 0.8 = $120.00Tax: 0.08 × $120.00 = $9.60$120.00 + $9.60 = $129.60
2. $39.38
Sale price: $50.00 × 0.75 = $37.50Tax: 0.05 × $37.50 = $1.88$37.50 + $1.88 = $39.38
3. $48.00
Discount: 0.2 × $60.00 = $12.00$60.00 − $12.00 = $48.00
4. $15.00
Discount: 0.5 × $30.00 = $15.00$30.00 − $15.00 = $15.00
5. $24.00
Discount: 0.2 × $30.00 = $6.00$30.00 − $6.00 = $24.00
6. $18.75
Discount: 0.25 × $25.00 = $6.25$25.00 − $6.25 = $18.75
7. $79.93
Tip: 0.15 × $69.50 = $10.43$69.50 + $10.43 = $79.93
8. $36.00
Discount: 0.1 × $40.00 = $4.00$40.00 − $4.00 = $36.00
9. $59.40
Sale price: $110.00 × 0.5 = $55.00Tax: 0.08 × $55.00 = $4.40$55.00 + $4.40 = $59.40
10. $60.60
Tip: 0.2 × $50.50 = $10.10$50.50 + $10.10 = $60.60

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About percent problems: tax, tip and discount

Tax, tips and markups add a percent of the price; discounts take a percent away. Find the percent of the price by changing the percent to a decimal and multiplying, then add or subtract. A shortcut: a 20% discount means you pay 80%, so multiply the price by 0.8.

Worked example 1

A $30 video game is on sale for 20% off. What is the sale price?

Step 1.Discount: 0.2 × $30.00 = $6.00
Step 2.$30.00 − $6.00 = $24.00

Answer: $24.00

Worked example 2

A store buys a sweater for $95 and marks it up 50%. What is the selling price?

Step 1.Markup: 0.5 × $95.00 = $47.50
Step 2.$95.00 + $47.50 = $142.50

Answer: $142.50

Worked example 3

A $11 bike helmet has 6% sales tax. What is the total cost?

Step 1.Tax: 0.06 × $11.00 = $0.66
Step 2.$11.00 + $0.66 = $11.66

Answer: $11.66

Watch out for

Find the amount of the tax, tip or discount first, then add or subtract it.
For two changes, like a discount and then tax, do them one at a time, in order.
Estimate first: 20% of $47 is about $10.

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