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Percent Problems Worksheet Answer Key – Grade 7

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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Worksheet Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable worksheet answer keys for Grade 7

Looking for a percent problems worksheet answer key? Then this answer key gives every step of the Grade 7 worksheet on Solving Multistep Percent Problems with Tax, Tips and Discounts. Each solution shows the percent converted to a decimal, every intermediate amount and the final answer in bold. If your answer differs by a few cents, check whether you rounded too early.

Standards: 7.RP.A.3 · Level: Grade 7

Problem 2 Sales Tax on Headphones

Tax: 0.0625 × 84 = 5.25.

Total: 84 + 5.25 = 89.25.

Answer: tax $5.25; total $89.25

Problem 3 Shoe Discount

Discount: 0.40 × 65 = 26.

Sale price: 65 − 26 = 39.

Answer: discount $26; sale price $39.00

Problem 4 Furniture Commission

0.06 × 2,450 = 147.

Answer: $147

Problem 5 Simple Interest Basics

I = Prt = 1,200 × 0.035 × 4 = 168.

Balance: 1,200 + 168 = 1,368.

Answer: interest $168; balance $1,368

Problem 6 Scooter Markup

Markup: 0.45 × 90 = 40.50.

Selling price: 90 + 40.50 = 130.50.

Answer: markup $40.50; selling price $130.50

Problem 7 Tax and Tip Together

Tax: 0.08 × 48 = 3.84. Tip: 0.20 × 48 = 9.60.

Total: 48 + 3.84 + 9.60 = 61.44. (Check: 48 × 1.28 = 61.44.)

Answer: $61.44

Problem 8 Backpack Sale Then Tax

Sale price: 52 × 0.75 = 39.00.

Tax: 39 × 0.07 = 2.73.

Total: 39 + 2.73 = 41.73.

Answer: $41.73

$52.00backpack× 0.75(25% off)$39.00sale price× 1.07(7% tax)$41.73total
Discount, then tax.

Problem 9 Two Discounts in a Row

After 20% off: 150 × 0.80 = 120.

After the extra 10% off: 120 × 0.90 = 108.

A single 30% discount gives 150 × 0.70 = 105.

Answer: $108; it is not the same, because it costs $3 more than 30% off

Problem 10 Base Pay Plus Commission

Commission: 0.045 × 5,200 = 234.

Pay: 380 + 234 = 614.

Answer: $614

Problem 11 Finding the Time

I = Prt: 225 = 2,500 × 0.03 × t, so 225 = 75t.

t = 225 ÷ 75 = 3.

Answer: 3 years

Problem 12 Finding the Rate

270 = 1,800 × r × 5, so 270 = 9,000r.

r = 270 ÷ 9,000 = 0.03 = 3%.

Answer: 3% per year

Problem 13 Percent Markup on Cost

Markup: 3.90 − 2.40 = 1.50.

1.50 ÷ 2.40 = 0.625 = 62.5%.

Answer: 62.5% markup

Problem 14 Meal Price Before the Tip

The total is 115% of the meal: 1.15 × meal = 45.54.

Meal: 45.54 ÷ 1.15 = 39.60.

Tip: 45.54 − 39.60 = 5.94.

Answer: meal $39.60; tip $5.94

meal $39.60$5.94$45.54
Check: 39.60 + 5.94 = 45.54.

Problem 15 Concert Ticket Fees

Subtotal: 4 × 62.50 = 250.

Service fee: 0.08 × 250 = 20. Fees together: 20 + 6.50 = 26.50.

Total: 250 + 26.50 = 276.50.

Fee percent: 26.50 ÷ 250 = 0.106 = 10.6%.

Answer: $276.50; fees are 10.6% of the subtotal

Problem 16 Comparing Savings Plans

A: 3,200 × 0.0275 × 6 = 88 × 6 = 528.

B: 3,200 × 0.03 × 5 = 96 × 5 = 480.

528 − 480 = 48.

Answer: Plan A earns $48 more ($528 versus $480)

Problem 17 Which Store Is Cheaper

A: 240 × 0.85 = 204. Tax: 204 × 0.06 = 12.24. Total: 216.24.

B: 225 × 1.08 = 243.00.

243.00 − 216.24 = 26.76.

Answer: Store A is cheaper by $26.76 ($216.24 versus $243.00)

Problem 18 Tiered Commission

On $7,500: 5% of 3,000 = 150. Above: 7,500 − 3,000 = 4,500, and 8% of 4,500 = 360. Total: 510.

For $700: 700 − 150 = 550 must come from the 8% part. 550 ÷ 0.08 = 6,875. Sales: 3,000 + 6,875 = 9,875.

Check: 150 + 0.08 × 6,875 = 150 + 550 = 700.

Answer: $510; $9,875 in sales

Problem 19 Splitting the Check

Tax: 0.075 × 80 = 6.00. Tip: 0.18 × 80 = 14.40.

Total: 80 + 6 + 14.40 = 100.40.

Each: 100.40 ÷ 4 = 25.10.

Answer: $25.10 per person

Problem 20 Markup Then Sale

Marked price: 140 × 1.60 = 224.

Sale price: 224 × 0.75 = 168.

Profit: 168 − 140 = 28.

28 ÷ 140 = 0.20 = 20%.

Answer: sale price $168; profit $28, which is 20% of cost

$140cost× 1.60(60% markup)$224price× 0.75(25% off)$168sale
Markup, then markdown.