Worksheet #4: Percentage Word Problems - Practice calculating discounts and sale prices with real-world scenarios.

Let's solve each of these percentage word problems step by step and explain the reasoning.

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1.) The price of 6-week-old Beagle puppies is $339.50, but they're coming on sale this Friday and will be 20% cheaper. How much will the puppy cost me if I buy it on Friday?

Step 1: Find 20% of $339.50
$ 0.20 \times 339.50 = 67.90 $

Step 2: Subtract the discount from the original price
$ 339.50 - 67.90 = 271.60 $

✔ Answer: $271.60

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2.) Tennis socks have been discounted and are only $4.79 this week. They usually cost $7.99. What percentage is the discount?

Step 1: Find the amount of discount
$ 7.99 - 4.79 = 3.20 $

Step 2: Find what percent $3.20 is of $7.99
$ \frac{3.20}{7.99} \approx 0.4005 \Rightarrow 40.05\% $

✔ Answer: Approximately 40.05% discount

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3.) I paid $3.50 for the markers but I’ll discount them 25% as the package is missing. How much are the markers with the 25% discount?

Note: This one is a bit ambiguous. You *paid* $3.50, but now you’re giving a 25% discount on that amount (presumably to someone else). So we reduce $3.50 by 25%.

Step 1: Calculate 25% of $3.50
$ 0.25 \times 3.50 = 0.875 $

Step 2: Subtract from original
$ 3.50 - 0.875 = 2.625 \approx 2.63 $

✔ Answer: $2.63

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4.) I only paid $69.65 for my new helmet as they were offering a 30% discount! How much would I have paid if I didn’t get the discount?

This means $69.65 is 70% of the original price (since 100% - 30% = 70%).

Let original price = $ x $

So:
$ 0.70x = 69.65 $

Solve for $ x $:
$ x = \frac{69.65}{0.70} \approx 99.50 $

✔ Answer: $99.50

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5.) New tablets are on sale for 40% off. They're normally $149.50. What will I pay for my tablet when I get 40% off?

Step 1: Find 40% of $149.50
$ 0.40 \times 149.50 = 59.80 $

Step 2: Subtract from original
$ 149.50 - 59.80 = 89.70 $

✔ Answer: $89.70

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6.) That $3.00 app you wanted is on sale for 32% off. What will it cost now?

Step 1: Find 32% of $3.00
$ 0.32 \times 3.00 = 0.96 $

Step 2: Subtract
$ 3.00 - 0.96 = 2.04 $

✔ Answer: $2.04

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7.) The top I want is $36.95 but because I work there, I get a 40% discount. What will I pay for the top?

Step 1: Find 40% of $36.95
$ 0.40 \times 36.95 = 14.78 $

Step 2: Subtract
$ 36.95 - 14.78 = 22.17 $

✔ Answer: $22.17

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8.) It’s $10.95 to get into the show but seniors get a discount on Tuesdays of 37% off. What will seniors pay on Tuesday?

Step 1: Find 37% of $10.95
$ 0.37 \times 10.95 = 4.0515 \approx 4.05 $

Step 2: Subtract
$ 10.95 - 4.05 = 6.90 $

✔ Answer: $6.90

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9.) The amusement park memberships are $519.95 but there’s a pre-Christmas sale of 20%. How much do they cost with the sale?

Step 1: Find 20% of $519.95
$ 0.20 \times 519.95 = 103.99 $

Step 2: Subtract
$ 519.95 - 103.99 = 415.96 $

✔ Answer: $415.96

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10.) I only paid $29.21 for the vest as I got a 25% discount. What was the price before the discount?

You paid 75% of the original price (since 100% - 25% = 75%)

Let original price = $ x $

So:
$ 0.75x = 29.21 $

Solve:
$ x = \frac{29.21}{0.75} \approx 38.95 $

✔ Answer: $38.95

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✔ Final Answers:

1. $271.60
2. 40.05%
3. $2.63
4. $99.50
5. $89.70
6. $2.04
7. $22.17
8. $6.90
9. $415.96
10. $38.95

Let me know if you'd like these explained in a printable format or need help checking your own work!