Students can use this worksheet to solve six different percentage problems involving coins, cars, gliders, and speakers.

Let’s solve each problem step by step.

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Problem 1:

You buy a coin for $1,400 and sell it for $1,820.

First, find the profit:
$1,820 - $1,400 = $420

Now, find what percent $420 is of the original price ($1,400):
($420 ÷ $1,400) × 100 = ?

420 ÷ 1400 = 0.3
0.3 × 100 = 30%

✔ Percentage profit = 30%

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Problem 2:

Car priced at $28,000, reduced by 15%.

Find 15% of $28,000:
15% = 0.15
0.15 × 28,000 = 4,200

Subtract that from original price:
$28,000 - $4,200 = $23,800

✔ New price = $23,800

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Problem 3:

Glider starts at 2,000 ft, height increases by 35%.

Find 35% of 2,000:
0.35 × 2,000 = 700

Add to original height:
2,000 + 700 = 2,700

✔ New height = 2,700 ft

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Problem 4:

Old speaker: 60 watts. New one is 12% more powerful.

Find 12% of 60:
0.12 × 60 = 7.2

Add to original:
60 + 7.2 = 67.2

✔ Output of new speaker = 67.2 watts

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Problem 5:

Tyger typed 36 wpm → now types 45 wpm.

Change in speed: 45 - 36 = 9 words per minute

Percent change = (change ÷ original) × 100
(9 ÷ 36) × 100 = 0.25 × 100 = 25%

✔ Percentage change = 25% increase

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Problem 6:

Quadra’s torch: 50 lumens. Sally’s is 65% brighter.

Find 65% of 50:
0.65 × 50 = 32.5

Add to original:
50 + 32.5 = 82.5

✔ Output of Sally’s torch = 82.5 lumens

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Final Answer:
1) 30%
2) $23,800
3) 2,700 ft
4) 67.2 watts
5) 25%
6) 82.5 lumens