8 Percentage Increase [Autosaved].pptx99999999999999999999999999999999999999999999999999

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1. CLASSROOM RULES MAPEH 7 Respect the teacher by listening attentively and following directions. Raise your hands if you want to answer or want to clarify something. Do not answer in chorus. Speak loud and clear. Turn your cellphone in a silent mode and do not use it during discussion, unless the teacher allowed you. Participate and always do your best!

2. Increase Percentage 40 % .

3. Solve problems involving percentage increase OBJECTIVES

4. Fraction, Decimal & Percent FRACTION DECIMAL PERCENT Recap Complete the table of equivalent fractions, decimals, and percents. 0.75 25% 0.5 50% 75% 0.25 100% 1.0 = = = 1

5. 0.75 25% 0.5 50% 75% 0.25 100% 1.0 1 0.0 0% Fraction, Decimal & Percent Recap Fraction Decimal Percent

6. Percentage Increase

7. Percentage Situation During the start of Back-to-School Season, a notebook product cost ₱20.00. The salesman told you that the price of the product will become ₱28.00 next week. Further, the salesman said the store will have a 30% increase in all their products. How are you going to check if the information given by the salesman is true? ₱28.00 ₱20.00

8. Percentage Situation ₱20.00 Describe the change in price of the product. Is it an increase or a decrease? ₱28.00 2.How much is the increase? 3.What is 30% of 20? 4.What is the percentage increase? -Increase -₱8 -₱6

9. Percentage Increase Percentage increase measures the amount of increase in comparison to the original value , expressed as percentage. Calculating Percentage Increase: Amount of Increase Original Value

10. Percentage Increase Percentage increase measures the amount of increase in comparison to the original value , expressed as percentage. Original Value New Value - Original Value × 100% Calculating Percentage Increase:

11. ₱20.00 ₱28.00 20 28 - 20 × 100 20 8 × 100 04 Example 1. What is the percentage increase if the original value is 20 and the new value is 28? Solution: Original Value New Value - Original Value × 100% Long Division: 20 8 0.4 × 100 = 40% . . 4 80 % . PROBLEM SOLVING -

12. Example 2. A student’s score improved from 60 to 75 in the next quiz. . Original Value New Value - Original Value × 100% PROBLEM SOLVING

13. Example 3 . A worker’s salary increased from ₱10,000 to ₱12,000. What is the percentage increase in the salary?”. Original Value New Value - Original Value × 100% PROBLEM SOLVING

14. Solve the following (Show your solution) A bag’s price increased from ₱800 to ₱880. Your electric bill increased from ₱1,200 to ₱1,500 A cellphone was originally ₱15,000. It now costs ₱16,500. PROBLEM SOLVING

15. Percentage Situation During the start of Back-to-School Season, a notebook product cost ₱20.00. The salesman told you that the price of the product will become ₱28.00 next week. Further, the salesman said the store will have a 30% increase in all their products. How are you going to check if the information given by the salesman is true? ₱28.00 ₱20.00

16. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 120 - 100 = 20 20 % 20 100 Complete the table. × 100 = 0.20 = 0.

17. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 120 - 100 = 400 - 250 = 20 150 20 100 = 150 250 Complete the table. × 100 = 0.20 = 20%

18. 100 120 250 400 65 74.75 180 225 199 298.5 20% Activity A 120 - 100 = 400 - 250 = 20 150 20 100 0.6 = 150 250 Long Division: Estimate: 5 250 × 6 250 × Complete the table. × 100 = 0.20 = × 100 = 6 0. % 250 150 . . 6 1500 5 2 12 3 15 -

19. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 20 150 9.75 20 100 × 100 = 0.20 = 0.6 = × 100 = 60% 150 250 9.75 65 20%

20. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 20 150 9.75 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 Long Division: 65 9.75 5 . 1 65 - 32 Estimate: 5 65 × 5 32 2 5 325 × 100 = 0.15 = 15 0. % 60% 20% -

21. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 225 - 180 = 20 150 9.75 45 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 × 100 = 0.15 = 15% 45 180 60% 20%

22. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 225 - 180 = 20 150 9.75 45 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 × 100 = 0.15 = × 100 = 0.25 = 25% 45 180 Long Division: 180 45 . 2 360 - 90 900 . 5 15% 60% 20% -

23. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 225 - 180 = 298.5-199= 20 150 9.75 45 99.5 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 × 100 = 0.15 = × 100 = 0.25 = 45 180 99.5 199 25% 15% 60% 20%

24. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 225 - 180 = 298.5-199= 20 150 9.75 45 99.5 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 × 100 = 0.15 = × 100 = 0.25 = 45 180 99.5 199 Long Division: 199 99.5 . 5 995 - 0.5 = × 100 = 50% 25% 15% 60% 20%

25. Activity A 100 120 250 400 65 74.75 180 225 199 298.5 Complete the table. 120 - 100 = 400 - 250 = 74.75 - 65 = 225 - 180 = 298.5-199= 20 150 9.75 45 99.5 20 100 × 100 = 0.20 = 0.6 = × 100 = 150 250 9.75 65 × 100 = 0.15 = × 100 = 0.25 = 45 180 99.5 199 0.5 = × 100 = 50% 25% 15% 60% 20%

26. Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 10 40 × 100 = 0.25 = 25%

27. Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 × 190 10 25%

28. Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 × 190 = 85.5 Multiply: 0.45 × 190 5 4 9 6 3 7 + 5 5 1 8 . 10 25%

29. 275.5 Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 190 = 190+85.5= 85.5 10 25% ×

30. 275.5 Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 × 190 = 190+85.5= 0.12 × 75 85.5 10 25%

31. Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 × 190 = 190+85.5= 275.5 0.12 × 75 = 9 Multiply: 0.12 × 75 5 7 1 + 9 . 15 1 85.5 10 25%

32. 275.5 Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 0.45 × 190 = 190+85.5= 0.12 × 75 = 9 75+9= 84 85.5 10 25%

33. 320 499 275.5 Activity B 40 50 190 0.45 or 45% 75 0.12 or 12% 374.4 54.4 873.25 374.25 Complete the table. 50 - 40 = 10 40 × 100 = 0.25 = 374.25 499 0.75 = × 100 = 75% 0.45 × 190 = 190+85.5= 0.12 × 75 = 75+9= 374.4 - 54.4 54.4 320 0.17 = × 100 = 17% 873.25 - 374.25 = = 9 84 85.5 10 25%

34. 28 Original Value New Value - Original Value × 100% PROBLEM SOLVING Example 2. A fast food restaurant recorded ₱250,000 sales in one week. After a week it became ₱320,000. Find the percentage increase of its sales. Solution: Long Division: = 28% . % . 250,000 320,000 - 250,000 × 100 250,000 70,000 × 100 70000 250000 . 2 500000 - 200000 8 2000000 × 100 0.28

35. 02 Original Value New Value - Original Value × 100% PROBLEM SOLVING 67 68.34 - 67 × 100 Example 3. The original price of a liter of gasoline is ₱67.00. In the following week, the gasoline companies adjusted the price to ₱68.34 for each liter. Find the percentage increase in the price of each liter? Solution: Long Division: % . 2 134 - 67 1.34 × 100 . 67 1.34 = 2% × 100 0.02

36. Activity C Solve the following problems. 1. In 2023, a university recorded a total of 2,350 enrollees while in 2024, the total enrollees is 3,337. What is the percentage increase in the enrollment? 2. After increasing the price by Php1,000.00, the price of a smart phone becomes Php13, 000. What is the percentage increase in the price of the smart phone? 3. Lisa made two attempts in answering a set of exercises in Math. She recorded a score of 45 in the first attempt and 58 in the second attempt. What is the percentage increase in her scores? If the required percentage increase is at least 30% to proceed to the next set of exercises, can Lisa proceed to the next set?

37. Original Value New Value - Original Value × 100% 2,350 3,337−2,350 × 100 Solution: 2,350 987 × 100 = 42% × 100 0.42 Activity C Solve the following problems. 1. In 2023, a university recorded a total of 2,350 enrollees while in 2024, the total enrollees is 3,337. What is the percentage increase in the enrollment?

38. × 100 0.083 Original Value New Value - Original Value × 100% 12,000 1,000 × 100 Activity C Solution: × 100 0.083333... Solve the following problems. 2. After increasing the price by Php1000.00, the price of a smart phone becomes Php13000.00 What is the percentage increase in the price of the smart phone? Original Price = New Price − Increase Original Price = 13,000 − 1,000 Original Price = 12,000 or 8.33% = 8.3%

39. Original Value New Value - Original Value × 100% 45 13 × 100 Activity C Solution: × 100 0.28888... Solve the following problems. 3. Lisa made two attempts in answering a set of exercises in Math. She recorded a score of 45 in the first attempt and 58 in the second attempt. What is the percentage increase in her scores? If the required percentage increase is at least 30% to proceed to the next set of exercises, can Lisa proceed to the next set? = 28.89% 45 58 - 45 × 100 Lisa cannot proceed to the next set of exercises.

40. Percentage Decrease Up Next

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