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# Worksheet on Percentage - Formula, Conversions & Practice Questions

## Worksheet of Percentage for Grades 5-12

### Some Solved Questions on Percentage

1. What would be the cost of \$100 if it is discounted by 25%?

a) \$75
b) \$80
c) \$90
d) \$95

Explanation: The item is on sale for 25% off.
Therefore, \$100 x 25%
= 100 x (25/100)
= 100 x 1/4
= \$25

The amount paid = \$100 - \$25
= \$75

2. If a business has a profit margin of 20%, how much profit does it make for every \$100 of revenue?

a) \$20
b) \$25
c) \$30
d) \$35

Explanation: Profit per \$100 of revenue = Profit Margin x 100

In this case, the profit margin is 20%, so substituting that value into the formula we get:
Profit per \$100 of revenue = 20% x 100
= 0.20 x 100
= \$20

Therefore, the business makes a profit of \$20 for every \$100 of revenue.

3. If a test has 10 questions and you got 8 correct, what percentage did you score?

a) 80%
b) 75%
c) 70%
d) 60%

Explanation: The percentage score = (number of correct answers / total number of questions) x 100
(8/10) x 100 = 80%

4. Suppose your total revenue this week is \$1,000, and your cost of goods sold is \$700. What would be the value of gross profit margin per cent?

a) 10%
b) 20%
c) 30%
d) 40%

Explanation: Gross Profit = Total Revenue - Cost of Goods Sold
Gross Profit = \$1,000 - \$700
Gross Profit = \$300

Now we can calculate the gross profit margin using the formula above:
Gross Profit Margin = (Gross Profit / Total Revenue) x 100
Gross Profit Margin = (\$300 / \$1,000) x 100
Gross Profit Margin = 30%

Therefore, the gross profit margin for this week is 30%.

5. A student got 40 out of 50 in a test, what percentage did he score?

a) 90%
b) 80%
c) 70%
d) 60%

Explanation: Percentage score = (Marks obtained / Total marks) x 100
= (40/50) x 100
= 80%

6. If a product is marked up by 50%, what is the selling price if the cost price is \$100?

a) \$150
b) \$125
c) \$110
d) \$100

Explanation: Markup Percentage = 50/100 = 0.5
Selling Price = Cost Price x (1 + Markup Percentage)
Selling Price = \$100 x (1 + 0.5)
Selling Price = \$100 x 1.5
Selling Price = \$150

7. If the cost price of an item is \$50 and the selling price is \$40, what is the percentage loss?

a) 20%
b) 25%
c) 30%
d) 35%

Explanation: Percentage loss = ((cost price - selling price) / cost price) x 100
((\$50 - \$40) / \$50) x 100 = 20%

8. If a business has a profit percentage of 50%, what does this mean in relation to its revenue and cost?

a) The business is making a 50% profit on its revenue.
b) The business is losing 50% of its revenue.
c) The business is making a 50% profit on its cost.
d) The business is losing 50% of its cost.

Answer: a) The business is making a 50% profit on its revenue.

9. If a student scores 75% in an exam, what is the equivalent CGPA on an 8-point scale?

a) 5.0
b) 5.5
c) 6.0
d) 6.5

Explanation: CGPA = (Percentage/100) x Maximum CGPA
CGPA = (75/100) x 8 = 0.75 x 8 = 6

10. How would you convert 75% to a fraction?

a) 3/4
b) 2/5
c) 1/2
d) 5/6

Explanation: 75% = 75/100
= 3/4

Therefore, 75% is equivalent to 3/4 as a fraction.

### Questions for Practice on Percentage

1. If the price of a car decreased from \$20,000 to \$16,000, what is the percentage decrease?

a) 15%
b) 20%
c) 25%
d) 30%

2. If a shirt originally cost \$50 and is now on sale for \$40, what is the percentage discount?

a) 10%
b) 15%
c) 20%
d) 25%

3. A company's profit margin is 25%. If the company's revenue is \$80,000, how much profit did it make?

a) \$20,000
b) \$60,000
c) \$20,800
d) \$22,000

4. If a pizza originally had 8 slices and you ate 2 slices, what percentage of the pizza did you eat?

a) 20%
b) 25%
c) 30%
d) 40%

5. If a company's expenses are \$50,000 and its revenue is \$80,000, what is the company's profit margin per cent?

a) 20%
b) 37.5%
c) 60%
d) 80%

## Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

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