Percent Application Problems worksheet - Free Printable

Let's solve each of these percent application problems step by step.

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1. Mr. Leader bought his fiancée’s engagement ring on sale 45% off. If the original price was $320, how much did he save?

Step 1: Find 45% of $320
We calculate:
$$
\text{Amount saved} = 45\% \times 320 = \frac{45}{100} \times 320 = 0.45 \times 320 = 144
$$

✔ Answer: He saved $144.

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2. 38% of the 1200 Wilson students are 7th graders. How many Wilson students are 7th graders?

Step 1: Find 38% of 1200
$$
\text{Number of 7th graders} = 38\% \times 1200 = \frac{38}{100} \times 1200 = 0.38 \times 1200 = 456
$$

✔ Answer: There are 456 7th graders.

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3. Joe Cool made 85% of the free throws he attempted last season. If he made 51 free throws, how many did he attempt?

Let the total number of attempts be $ x $.
He made 85% of them, so:
$$
0.85x = 51
$$

Solve for $ x $:
$$
x = \frac{51}{0.85} = 60
$$

✔ Answer: He attempted 60 free throws.

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4. Scooby made a 56% on his science test. If he got 14 problems correct, how many questions were on the test?

Let the total number of questions be $ x $.
Then:
$$
56\% \text{ of } x = 14 \Rightarrow 0.56x = 14
$$

Solve for $ x $:
$$
x = \frac{14}{0.56} = 25
$$

✔ Answer: There were 25 questions on the test.

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5. Charles bought a new shirt that was originally priced $13. He received a $2.60 discount. What percent discount did Charles receive?

We need to find what percent $2.60 is of $13.

Use the formula:
$$
\text{Percent discount} = \left( \frac{\text{Discount}}{\text{Original Price}} \right) \times 100 = \left( \frac{2.60}{13} \right) \times 100
$$

Calculate:
$$
\frac{2.60}{13} = 0.2 \Rightarrow 0.2 \times 100 = 20\%
$$

✔ Answer: Charles received a 20% discount.

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✔ Final Answers:

1. $144
2. 456 students
3. 60 attempts
4. 25 questions
5. 20% discount

Let me know if you'd like these explained with visual models or proportions!