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Profit Margin worksheet

Grade 7 · CCSS 7.RP.A.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Calculation: Price for a target margin
    • Cost: $60
    • Target margin: 26%

    Find: Required selling price

  2. Problem 2.
    • Calculation: Price for a target margin
    • Cost: $52
    • Target margin: 20%

    Find: Required selling price

  3. Problem 3.
    • Calculation: Margin from cost and revenue
    • Cost: $55
    • Revenue (selling price): $115

    Find: Gross margin

  4. Problem 4.
    • Calculation: Margin from cost and revenue
    • Cost: $72
    • Revenue (selling price): $120

    Find: Gross margin

  5. Problem 5.
    • Calculation: Margin from cost and revenue
    • Cost: $54
    • Revenue (selling price): $90

    Find: Gross margin

  6. Problem 6.
    • Calculation: Margin from cost and revenue
    • Cost: $50
    • Revenue (selling price): $120

    Find: Gross margin

  7. Problem 7.
    • Calculation: Margin from cost and revenue
    • Cost: $90
    • Revenue (selling price): $145

    Find: Gross margin

  8. Problem 8.
    • Calculation: Margin from cost and revenue
    • Cost: $75
    • Revenue (selling price): $110

    Find: Gross margin

  9. Problem 9.
    • Calculation: Price for a target margin
    • Cost: $56
    • Target margin: 20%

    Find: Required selling price

  10. Problem 10.
    • Calculation: Price for a target margin
    • Cost: $60
    • Target margin: 18%

    Find: Required selling price

Answer key: Profit Margin worksheet

  1. 1. Required selling price: $81.08

    1. Turn the target margin into a decimal

      26%100=0.26
    2. The cost must make up the rest of the price, so divide the cost by 1 minus the margin

      $60.001−0.26=$81.08
    3. Take the cost away from the price to get the gross profit

      $81.08−$60.00=$21.08
    4. For comparison, markup divides the same profit by the cost instead of the price

      $21.08$60.00×100=35.1351%
  2. 2. Required selling price: $65.00

    1. Turn the target margin into a decimal

      20%100=0.2
    2. The cost must make up the rest of the price, so divide the cost by 1 minus the margin

      $52.001−0.2=$65.00
    3. Take the cost away from the price to get the gross profit

      $65.00−$52.00=$13.00
    4. For comparison, markup divides the same profit by the cost instead of the price

      $13.00$52.00×100=25%
  3. 3. Gross margin: 52.17%

    1. Take the cost away from the selling price to get the gross profit

      $115.00−$55.00=$60.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $60.00$115.00×100=52.1739%
    3. For comparison, find the markup: the same profit as a share of the cost

      $60.00$55.00×100=109.0909%
  4. 4. Gross margin: 40%

    1. Take the cost away from the selling price to get the gross profit

      $120.00−$72.00=$48.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $48.00$120.00×100=40%
    3. For comparison, find the markup: the same profit as a share of the cost

      $48.00$72.00×100=66.6667%
  5. 5. Gross margin: 40%

    1. Take the cost away from the selling price to get the gross profit

      $90.00−$54.00=$36.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $36.00$90.00×100=40%
    3. For comparison, find the markup: the same profit as a share of the cost

      $36.00$54.00×100=66.6667%
  6. 6. Gross margin: 58.33%

    1. Take the cost away from the selling price to get the gross profit

      $120.00−$50.00=$70.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $70.00$120.00×100=58.3333%
    3. For comparison, find the markup: the same profit as a share of the cost

      $70.00$50.00×100=140%
  7. 7. Gross margin: 37.93%

    1. Take the cost away from the selling price to get the gross profit

      $145.00−$90.00=$55.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $55.00$145.00×100=37.931%
    3. For comparison, find the markup: the same profit as a share of the cost

      $55.00$90.00×100=61.1111%
  8. 8. Gross margin: 31.82%

    1. Take the cost away from the selling price to get the gross profit

      $110.00−$75.00=$35.00
    2. Divide the profit by the selling price, then multiply by 100, to see what share of each sale you keep

      $35.00$110.00×100=31.8182%
    3. For comparison, find the markup: the same profit as a share of the cost

      $35.00$75.00×100=46.6667%
  9. 9. Required selling price: $70.00

    1. Turn the target margin into a decimal

      20%100=0.2
    2. The cost must make up the rest of the price, so divide the cost by 1 minus the margin

      $56.001−0.2=$70.00
    3. Take the cost away from the price to get the gross profit

      $70.00−$56.00=$14.00
    4. For comparison, markup divides the same profit by the cost instead of the price

      $14.00$56.00×100=25%
  10. 10. Required selling price: $73.17

    1. Turn the target margin into a decimal

      18%100=0.18
    2. The cost must make up the rest of the price, so divide the cost by 1 minus the margin

      $60.001−0.18=$73.17
    3. Take the cost away from the price to get the gross profit

      $73.17−$60.00=$13.17
    4. For comparison, markup divides the same profit by the cost instead of the price

      $13.17$60.00×100=21.9512%