Math worksheet focusing on basic percent concepts, featuring seven questions that test understanding of percentages, ratios, and proportional relationships.

Let's solve each problem step by step and explain the reasoning.

---

1. Which of the following can also be written as 84%?

We need to convert 84% into a decimal or fraction and match it with one of the options.

- 84% = 84/100 = 21/25 (after simplifying: divide numerator and denominator by 4)
- Also, 84% = 0.84

Now check the options:

- [A] 0.16 → No, that's 16%
- [B] 21/25 → Yes! This is equal to 84%
- [C] 8.4 → That’s way bigger than 1
- [D] 84/25 → That’s 3.36, not 0.84

✔ Answer: [B] 21/25

---

2. All of the following are equal except:

Let’s compute each option:

- [A] 50% of 400 = 0.5 × 400 = 200
- [B] $200 → $200
- [C] $400 decreased by half = 400 ÷ 2 = $200
- [D] 150% of 50 = 1.5 × 50 = 75
- [E] $100 increased by 100% = 100 + (100% of 100) = 100 + 100 = $200

Only [D] is 75, all others are 200.

✔ Answer: [D] 150% of 50

---

3. Express the sample proportion as a percent. 379 out of 659 applicants had the necessary skills.

We calculate:
$$
\frac{379}{659} \times 100 \approx ?
$$

Do the division:
- 379 ÷ 659 ≈ 0.5742
- Multiply by 100: ≈ 57.42%

So, the sample proportion is approximately 57.4%.

✔ Answer: 57.4% (rounded to one decimal place)

---

4. 20% of 60 is what number?

$$
20\% \text{ of } 60 = \frac{20}{100} \times 60 = 0.2 \times 60 = 12
$$

✔ Answer: 12

---

5. 80% of 50 is what number?

$$
80\% \text{ of } 50 = \frac{80}{100} \times 50 = 0.8 \times 50 = 40
$$

✔ Answer: 40

---

6. Compare the quantities in Column A and Column B

- Column A: 80% of 72,000
$$
0.8 \times 72,000 = 57,600
$$

- Column B: 20% of 288,000
$$
0.2 \times 288,000 = 57,600
$$

Both are equal!

✔ Answer: [C] The quantities are equal.

---

7. 18 is 60% of what number?

Let the unknown number be $ x $. Then:
$$
60\% \text{ of } x = 18 \\
0.6x = 18 \\
x = \frac{18}{0.6} = 30
$$

✔ Answer: [C] 30

---

✔ Final Answers Summary:

1. [B] 21/25
2. [D] 150% of 50
3. 57.4%
4. 12
5. 40
6. [C] The quantities are equal.
7. [C] 30

Let me know if you'd like these explained further or formatted for printing!