Grade 8 Percentage Word Problems worksheet with ten real-world math scenarios involving discounts, taxes, and interest.

Here are the step-by-step solutions for each problem on the worksheet.

1. Sale Discount
* Step 1: Find the discount amount. Calculate 20% of $80.
$80 \times 0.20 = \$16$
* Step 2: Subtract the discount from the original price to find the sale price.
$80 - 16 = \$64$

2. Tax Calculation
* Step 1: Let $x$ be the original price before tax. The total price includes the original price plus 8% tax ($1.08x$).
$1.08x = 120$
* Step 2: Divide the total by 1.08 to find the original price.
$120 / 1.08 = 111.111...$
* Step 3: Round to two decimal places.
$\$111.11$

3. Markup and Selling Price
* Step 1: Find the markup amount. Calculate 40% of the cost ($50).
$50 \times 0.40 = \$20$
* Step 2: Add the markup to the cost to find the selling price.
$50 + 20 = \$70$

4. Profit Calculation
* Step 1: Find the profit amount in dollars.
$700 (\text{selling price}) - 500 (\text{cost}) = \$200$
* Step 2: Calculate what percentage the profit is of the original cost.
$(200 / 500) \times 100 = 40\%$

5. Discounted Price
* Step 1: Find the discount amount. Calculate 15% of $1,000.
$1,000 \times 0.15 = \$150$
* Step 2: Subtract the discount from the original price.
$1,000 - 150 = \$850$

6. Percentage Decrease
* Step 1: Find the difference in price.
$800 - 640 = \$160$
* Step 2: Divide the difference by the *original* price ($800).
$160 / 800 = 0.20$
* Step 3: Convert to a percentage.
$0.20 \times 100 = 20\%$

7. Compound Interest
* Step 1: Use the compound interest formula: $A = P(1 + r)^t$.
$P = 2000$, $r = 0.05$, $t = 3$.
* Step 2: Plug in the numbers.
$A = 2000(1 + 0.05)^3$
$A = 2000(1.05)^3$
* Step 3: Calculate $1.05^3$ (which is approx $1.157625$).
$2000 \times 1.157625 = 2315.25$

8. Commission Calculation
* Step 1: Calculate 3% of the total sales ($10,000).
$10,000 \times 0.03 = \$300$

9. Percentage Increase
* Step 1: Find the increase in population.
$60,000 - 50,000 = 10,000$
* Step 2: Divide the increase by the *original* population ($50,000).
$10,000 / 50,000 = 0.20$
* Step 3: Convert to a percentage.
$0.20 \times 100 = 20\%$

10. Discount and Sales Tax
* Step 1: Calculate the discount amount (25% of $120).
$120 \times 0.25 = \$30$
* Step 2: Find the discounted price.
$120 - 30 = \$90$
* Step 3: Calculate the sales tax on the *discounted* price (7% of $90).
$90 \times 0.07 = \$6.30$
* Step 4: Add the tax to the discounted price.
$90 + 6.30 = \$96.30$

Final Answer:
1. $64
2. $111.11
3. $70
4. 40%
5. $850
6. 20%
7. $2,315.25
8. $300
9. 20%
10. $96.30