Base, Rate and Percentage in Business Context

Finding the Base Rate and Percentage in Business Context

1. 1 4 9 6 3 7 5 2 8 BASE, RATE, AND PERCENTAGE by Sir Russell Ventura

2. PRE-ASSESSMENT What is 25% of 60? 300 is 50% of what? What percent of 400 is 50?

3. PERCENTAGE BASE RATE These questions involves... 1 3 8 4 9 7 5 6 2

4. BASE Usually denoted as (B), it refers to the number of which a certain number of hundredths is taken It represents the whole or the total amount that you are comparing the percentage to Generally preceded by keywords “of”, “as much as”, “as large as”

5. RATE Usually denoted as (R), it refers to the number of hundredths taken It tells you the proportion of the base that makes up the part or percentage. Usually expressed in percent, but can also be expressed in fraction and decimal

6. PERCENTAGE Usually denoted as (P), it is the part considered; a part of the whole It is what you get when you apply the rate to the base It is never expressed in percent, which is the common mistake of some students

7. 8 1 4 9 6 3 7 5 2

8. Let’s answer the Pre-Assessment What is 25% of 60?

9. What is 25% of 60? Given: Rate = 25% Base = 60 Percentage = ?

10. Let’s answer the Pre-Assessment 300 is 50% of what?

11. 300 is 50% of what? Given: P = 300 R = 50% B = ?

12. Let’s answer the Pre-Assessment What percent of 400 is 50?

13. What percent of 400 is 50? Given: B = 400, P = 50, R = ?

14. Let's Try

15. Let's Try What is 50% of 24?

16. Let's Try B = 24 R = 50% P = ?   (change percent to decimal)      

17. Let's Try 66 is 66.5% of what?

18. Let's Try P = 66 R = 66.5% B = ?     (change percent to decimal)  

19. Let's Try 72 is 20% of what?

20. Let's Try P = 72 R = 20% B = ?     (change percent to decimal)  

21. Let's Try What part of ₱1200 is ₱400?

22. Let's Try B = 1200 P = 400 R = ?     (change decimal to percent)  

23. Let's Try In a class of 40, 30% are girls, how many are boys?

24. Let's Try B = 40 R (GIRLS) = 30% P (GIRLS) = ?   (change percent to decimal)       Since we are asked how many are boys: are boys  

25. Let's Try In a stock of 120 blouses, 90 are sleeveless. How many percent are blouses with sleeves?

26. Let's Try B = 120 P = 90 R = ?   (change decimal to percent)   Since we are asked how many percent are WITH SLEEVES: are with sleeves  

27. Let's Try Maria bought a dress that was originally priced at ₱1750. She got a 15% discount. How much will she pay?

28. Let's Try B = 1750 R = 15% P = ?   (change percent to decimal)       Since we are asked how much will she pay:  

29. SEATWORK 1. A company’s gross sales for the month is ₱58,642.75. If 45% of the gross sales is the company’s gross profit, how much gross profit did the company get?

30. SEATWORK 2. A department store has a total stock of 750 shoes. Of this, 50% are for ladies, 30% are for men, and the rest are for children. Find the number of shoes in each category.

31. SEATWORK 3. A basketball team won 8 out of the total games that it played for the current season. This represents 32% of the total games. How many games did the team play in all?

32. SEATWORK 4. A retail store wants to determine their increase in sales from the previous month. If the sales last month is ₱50,000, while this month is ₱65,000, what is the rate of the increase?

33. SEATWORK 5. There are 240 male employees in the company. This represents 30% of the total number of employees. How many female employees does the company have in all?

34. SEATWORK 1. A company’s gross sales for the month is ₱58,642.75. If 45% of the gross sales is the company’s gross profit, how much gross profit did the company get?

35. SEATWORK B = 58642.75 R = 45% P = ?      

36. SEATWORK 2. A department store has a total stock of 750 shoes. Of this, 50% are for ladies, 30% are for men, and the rest are for children. Find the number of shoes in each category.

37. SEATWORK B = 750 R = 50%, 30%, ? P = ?     for ladies  

38. SEATWORK 3. A basketball team won 8 out of the total games that it played for the current season. This represents 32% of the total games. How many games did the team play in all?

39. SEATWORK 4. A retail store wants to determine their increase in sales from the previous month. If the sales last month is ₱50,000, while this month is ₱65,000, what is the rate of the increase?

40. SEATWORK 5. There are 240 male employees in the company. This represents 30% of the total number of employees. How many female employees does the company have in all?