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CCSS 7.RP.A.3 · multistep percent problems

Grade 7 Percent Applications Worksheet Generator

Extend basic discount, tax, and tip practice into the remaining Grade 7 percent applications: markup and markdown, commissions, fees, simple interest, and percent error. Money problems use integer-cent arithmetic, and percent-error items are constructed to have exact rates.

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Grade 7 Percent Applications

Percent applications · Grade 7 standard · Seed 261601

1.

Find the simple interest on $300.00 at 8% per year for 1 year. Then find the final balance.

Show the percent relationship before the final amount.

2.

A measured value is 30; the accepted value is 50. Find the percent error using |measured - accepted| / accepted x 100%.

Show the percent relationship before the final amount.

3.

A service charges a 10% fee on $92.00. Find the fee and the total after the fee.

Show the percent relationship before the final amount.

4.

An item costs $315.00 and is marked up 15%. Find the selling price.

Show the percent relationship before the final amount.

5.

An item costs $320.00 and is marked up 30%. Find the selling price.

Show the percent relationship before the final amount.

6.

Find the simple interest on $200.00 at 10% per year for 1 year. Then find the final balance.

Show the percent relationship before the final amount.

7.

An item costs $368.00 and is marked up 40%. Find the selling price.

Show the percent relationship before the final amount.

8.

A salesperson earns 10% commission on $472.00 in sales. Find the commission.

Show the percent relationship before the final amount.

9.

A measured value is 84; the accepted value is 80. Find the percent error using |measured - accepted| / accepted x 100%.

Show the percent relationship before the final amount.

10.

An item is listed at $487.00 and marked down 25%. Find the sale price.

Show the percent relationship before the final amount.

Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.

Solving percent problems about markup, interest, and commission

Many real situations are a percent of an amount: a markup is a percent of the cost, simple interest is a percent of the principal for each year, and a commission is a percent of the sales. Convert the percent to a decimal, multiply, and then add or use the result as the question asks.

Worked examples

  • A store buys an item for $20 and marks it up 40%. The markup is 0.40 × 20 = $8, so the price is $28.
  • Simple interest on $200 at 5% for 3 years is 200 × 0.05 × 3 = $30.
  • A 6% commission on a $500 sale is 0.06 × 500 = $30.

Common slips

  • Stopping at the markup. The selling price is the cost plus the markup, not the markup alone.
  • Forgetting to multiply by the number of years in simple interest.
  • Using 6 instead of 0.06 for 6%.

How to use this worksheet

Ask students to write the percent as a decimal and to say what the answer stands for (markup, interest, or total). The answer key gives each amount.

Common Core connection

  • 7.RP.A.3 · Solve multistep ratio and percent problems, including tax, tips, discounts, and interest.

A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.

Classroom note 1

Identify whether the percentage is an amount to add, subtract, or report separately before calculating.

Classroom note 2

For simple interest, use I = Prt and keep rate and time attached to the correct units. Example: $500 at 4% for 3 years is 500 times 0.04 times 3 = $60 interest, so the balance is $560.

Classroom note 3

Percent error compares the absolute error with the accepted value, not with the measured value.

Continue the 7.RP progression

Move to another Grade 7 representation or application

Open Grade 7 RP hub →

Questions people ask

Does this replace the existing discount, tax, and tip generator?

No. That tool remains the focused consumer-math practice. This page covers the Grade 7 applications that were still missing.

Can an answer depend on hidden rounding?

No. Money is exact to the cent, and percent-error pairs are constructed to produce exact whole-number rates.

How is percent error different from percent change?

Percent error divides the absolute error by the accepted, correct value. Percent change divides by the original value. The two differ only in which quantity is the reference.