Worksheet with ten word problems on calculating percentages of values.

Let's solve each of the percent problems step by step. I'll go through each question, explain the concept, and show the calculation.

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1. In a school of 90 students, 20% are boys. How many are boys?

Step 1: Understand what 20% of 90 means.
- "Percent" means "per hundred", so 20% = 20/100 = 0.20

Step 2: Multiply total students by the percent (as a decimal):
- $ 90 \times 0.20 = 18 $

✔ Answer: 18 boys

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2. What is 10% of 20?

- 10% = 0.10
- $ 20 \times 0.10 = 2 $

✔ Answer: 2

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3. Rohan bought a bicycle that cost $25.00 when it was new. If he eventually sold it for 10% of the original cost, how much was it sold for?

- Original cost = $25.00
- 10% of $25.00 = $25.00 × 0.10 = $2.50

✔ Answer: $2.50

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4. Donald earned $70.00 for a week’s work. If he paid 20% of it in taxes, how much did he pay in taxes?

- 20% of $70.00 = $70.00 × 0.20 = $14.00

✔ Answer: $14.00

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5. Kabir bought a bicycle that cost $75.00 when it was new. If he eventually sold it for 20% of the original cost, how much was it sold for?

- 20% of $75.00 = $75.00 × 0.20 = $15.00

✔ Answer: $15.00

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6. In a school of 60 students, 10% are boys. How many are boys?

- 10% of 60 = $ 60 \times 0.10 = 6 $

✔ Answer: 6 boys

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7. What is 15% of 40?

- 15% = 0.15
- $ 40 \times 0.15 = 6 $

✔ Answer: 6

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8. Manan earned $90.00 for a week’s work. If he paid 20% of it in taxes, how much did he pay in taxes?

- 20% of $90.00 = $90.00 × 0.20 = $18.00

✔ Answer: $18.00

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9. Jamar earned $60.00 for a week’s work. If he paid 20% of it in taxes, how much did he pay in taxes?

- 20% of $60.00 = $60.00 × 0.20 = $12.00

✔ Answer: $12.00

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10. In a school of 60 students, 20% are boys. How many are boys?

- 20% of 60 = $ 60 \times 0.20 = 12 $

✔ Answer: 12 boys

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✔ Final Answers Summary:

1. 18
2. 2
3. $2.50
4. $14.00
5. $15.00
6. 6
7. 6
8. $18.00
9. $12.00
10. 12

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🔍 Key Concepts Used:

- To find X% of a number: Convert percent to decimal (divide by 100), then multiply.
- Example: 20% of 90 = $ 90 \times \frac{20}{100} = 90 \times 0.20 = 18 $
- This applies to percentages of amounts, people, or quantities.

Let me know if you'd like this formatted as a printable answer sheet!