Master Ratios and Proportions: Enhance Your Business Calculations

Question 1

What is the ratio of 20 to 4, expressed in its simplest form?

Accepted Answer

5:1

Answer

1:5

Answer

4:1

Answer

1:4

Question 2

The correct formula for calculating the ratio of two numbers, a and b, is:

Accepted Answer

a / b

Answer

a + b

Answer

a - b

Answer

b / a

Question 3

Which statement represents a proportion?

Accepted Answer

The ratio of apples to oranges is 2:3.

Answer

The total number of students in the class is 20.

Answer

The profit margin is 10%.

Answer

The stock price has increased by 5%.

Question 4

Which method is NOT used to solve proportions?

Accepted Answer

Guess and check

Answer

Cross-multiplication

Answer

Substitution

Answer

Dimensional analysis

Question 5

Answer Options: A recipe requires a ratio of 3 cups of flour to 2 cups of sugar. If you double the batch size, how many cups of flour will you need?

Accepted Answer

8 cups

Answer

4 cups

Answer

6 cups

Answer

10 cups

Question 6

Apples cost $0.50 per pound. If you buy 3 pounds, how much will you pay?

Accepted Answer

$1.50

Answer

$0.50

Answer

$1.00

Answer

$2.00

Question 7

A company has a profit margin of 20%. If they make $100,000 in profit, what is their total revenue?

Accepted Answer

$125,000

Answer

$100,000

Answer

$120,000

Answer

$150,000

Question 8

In a class, the ratio of boys to girls is 3:4. If there are 15 girls, how many boys are there?

Accepted Answer

12

Answer

10

Answer

15

Answer

18

Question 9

A map has a scale of 1:100,000. If the distance between two cities on the map is 5 cm, what is the actual distance between the cities?

Accepted Answer

50 km

Answer

500 km

Answer

5 km

Answer

0.5 km

Question 10

A recipe asks for 1 cup of milk to 2 cups of flour. If you only have 1/2 cup of milk, how much flour should you use?

Accepted Answer

1/4 cup

Answer

1 cup

Answer

1/2 cup

Answer

1/8 cup

Question 11

A company's sales team has a goal of selling $200,000 worth of products. If they have already sold $120,000, what percentage of their goal have they achieved?

Accepted Answer

60%

Answer

50%

Answer

70%

Answer

80%

Question 12

A store is having a sale where all items are discounted by 25%. If a shirt originally costs $25, how much will it cost during the sale?

Accepted Answer

$18.75

Answer

$15

Answer

$20

Answer

$22

Question 13

A clothing store has a ratio of 3:5 between the number of shirts and pants in stock. If there are 120 shirts in stock, how many pants are there?

Accepted Answer

150

Answer

100

Answer

120

Answer

200

Question 14

A company's sales are projected to increase by 15% next year. If this year's sales were $1.5 million, what are the projected sales for next year?

Accepted Answer

$1.725 million

Answer

$1.65 million

Answer

$1.8 million

Answer

$1.875 million

Question 15

A store is having a sale where all items are discounted by 20%. If a shirt originally costs $30, what is its sale price?

Accepted Answer

$24

Answer

$25

Answer

$26

Answer

$27

Question 16

A contractor needs to mix paint in a ratio of 3:1 (paint to thinner). How many gallons of thinner are needed to mix with 12 gallons of paint?

Accepted Answer

6

Answer

3

Answer

4

Answer

8

Question 17

The formula for calculating the proportion constant (k) is:

Accepted Answer

k = ratio1 / ratio2

Answer

k = ratio2 / ratio1

Answer

k = ratio1 * ratio2

Answer

k = ratio1 - ratio2

Question 18

A map has a scale of 1:50,000. If a distance on the map measures 5 cm, the actual distance it represents is:

Accepted Answer

25,000 cm

Answer

250,000 cm

Answer

500,000 cm

Answer

50,000 cm

Question 19

A recipe requires a ratio of 2 cups of flour to 1 cup of sugar. How much sugar is needed if 6 cups of flour are used?

Accepted Answer

3 cups

Answer

2 cups

Answer

5 cups

Answer

4 cups

Question 20

A company's profit margin is 10%. If the company's total expenses were $400,000, what was its revenue?

Accepted Answer

$444,444.44

Answer

$500,000

Answer

$400,000

Question 21

A map uses a scale of 1 inch representing 10 miles.  If two cities are 15 inches apart on the map, what is the actual distance between them?

Accepted Answer

150 miles

Answer

100 miles

Answer

250 miles

Answer

200 miles

Question 22

Which of the following pairs of numbers represents a ratio of 2:3?

Accepted Answer

8:12

Answer

4:6

Answer

10:15

Answer

6:9

Question 23

A recipe requires 2 cups of flour for every 1 cup of sugar. What is the ratio of flour to sugar?

Accepted Answer

2:1

Answer

4:1

Answer

1:2

Answer

3:2

Question 24

A store sells apples and oranges in a ratio of 3:4. If you buy 12 apples, how many oranges would you buy?

Accepted Answer

16

Answer

32

Answer

8

Answer

24

Question 25

Which of the following values for 'x' would make the proportion 5:7 = 10:x true?

Accepted Answer

14

Answer

12

Answer

16

Answer

10

Question 26

A map has a scale of 1:250,000.  If a distance on the map is 5 cm, what is the actual distance in centimeters?

Accepted Answer

1,250,000 cm

Answer

1,000,000 cm

Answer

250,000 cm

Answer

500,000 cm

Question 27

A company wants to mix paint using a ratio of 2 parts blue to 3 parts yellow.  If they use 6 liters of blue paint, how many liters of yellow paint should they use?

Accepted Answer

9

Answer

18

Answer

6

Answer

12

Question 28

Which equation represents an inverse proportion?

Accepted Answer

y = k/x

Answer

y = kx

Answer

y = x/k

Answer

x = ky

Question 29

A rectangle has a perimeter of 40 cm and the ratio of its length to width is 3:2. What is the length of the rectangle?

Accepted Answer

12 cm

Answer

16 cm

Answer

8 cm

Answer

24 cm

Question 30

A store is offering a 20% discount on all items.  If a shirt originally costs $25, what is its sale price?

Accepted Answer

$20

Answer

$22.50

Answer

$30

Answer

$15

Question 31

A company has a profit margin of 15% and a revenue of $100,000.  What is the company's profit?

Accepted Answer

$15,000

Answer

$20,000

Answer

$10,000

Answer

$25,000

Question 32

A business has 12 employees, and 3 of them are sales representatives. What is the ratio of sales representatives to the total number of employees?

Accepted Answer

1:4

Answer

3:12

Answer

4:1

Answer

1:3

Question 33

A recipe for 12 cookies requires 2 cups of flour. If you want to make 36 cookies, how many cups of flour will you need?

Accepted Answer

6

Answer

8

Answer

4

Answer

12

Question 34

A company's profit margin is the ratio of profit to revenue. If a company has a profit margin of 20%, what is the profit for a revenue of $100,000?

Accepted Answer

$20,000

Answer

$10,000

Answer

$50,000

Answer

$80,000

Question 35

Two quantities are in direct proportion. If one quantity is doubled, what happens to the other quantity?

Accepted Answer

It is also doubled

Answer

It is halved

Answer

It is multiplied by four

Answer

It remains the same

Question 36

The price of a product is inversely proportional to the quantity demanded. If the price is increased by 50%, what happens to the quantity demanded?

Accepted Answer

It decreases by 33.33%

Answer

It remains the same

Answer

It decreases by 50%

Answer

It increases by 50%

Question 37

A company's production cost per unit is $10. If the company produces 100 units, what is the total production cost?

Accepted Answer

$1,000

Answer

$100,000

Answer

$100

Answer

$10,000

Question 38

A business invests $100,000 and earns a profit of $20,000. What is the return on investment (ROI) expressed as a percentage?

Accepted Answer

20%

Answer

100%

Answer

50%

Answer

10%

Question 39

A company has 50 employees, and 20% of them are managers. How many managers does the company have?

Accepted Answer

10

Answer

20

Answer

5

Question 40

A car travels 200 miles in 4 hours. What is the car's average speed in miles per hour?

Accepted Answer

50

Answer

100

Answer

75

Answer

25

Question 41

A company wants to mix two types of coffee beans, A and B, in a ratio of 3:2. If they need 25 kg of the mixture, how many kg of coffee bean A should they use?

Accepted Answer

15

Answer

20

Answer

10

Answer

25