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FINDING THE
PERCENTAGE IN A
GIVEN PROBLEM
DRILL
What’s your
target score in a
20 item quiz? Is it
75%, 80%, 90%
or 100%?
• Jouriz, a girl from a farm village is a diligent
and studious pupil. She goes to school every
day and does her work well. She never skip
studying her lesson every night. When she
took their 50-item quarter examination she
got 96% of it correctly. What is her score?
DEFINITION
• PERCENTAGE- is the number
or the amount that represents
a part of the whole.
• - after the word “is”
Formula
• Percentage = Base x Rate
Rate = Percentage
Base
• BASE - is the whole amount or the
entire amount
• - usually after the word “of”
Formula
• Base = Percentage
Rate
RATE- is the number compared to
100
- Usually has the percent % symbol
Techan’s Triangle
To find the percentage:
What is 96% of 50?
 Change the rate to decimal numbers
96% = move 2 decimal places to the left (0.96)
 And solve using the formula
 P = Base x rate
= 50 x 0.96
P = 48 her score
Example
1. What is 80%
of 200?
P = B X R
= 200 X ( 0.8)
P = 160
2. Give 30 % of
150?
P = B x R
= 150 x (0.3)
P = 45
Practice Task
• 3. 6% of 200 = N
P = B x R
= 200 x 0.06
= 12 (e)
4. 12% of 400
P = B x R
= 400 x 0.12
= 48 ( b)
5. 25 % of 240
P = B x R
= 240 x 0.25
= 60 (a)
Solution:
1. 75% of 100
P = B x R
= 100 x 0.75
= 75 ©
2. 60% of 90
P = B x R
= 90 x 0.6
= 54 ( d)
Direction: Complete the table by filling up the
percentage.
Base Rate Percentage
1. 40 12%
2. 175 80%
3. 40 75%
4. 300 40%
5. 60 25%
Generalization
To find the percentage use the formula: Percentage
= Rate x Base (P = R x B)
Express the rate as a decimal by moving the
decimals by moving the decimal point twice from
the left. Multiply the number following the steps in
multiplication.
EVALUATION
• Direction: Find the Percentage on the following
items:
• 1. What is 30 % of 150?
• 2. What is 50% of 100?
• 3. 75% of 30 is what number?
• 4. Give 25% of 500
• 5. 10% of 60 is N
•
V. ASSIGNMENT
Find the value of N
a. 10 % of 45 = n
b. 12% of 89 =n
c. 25% of 500?
THANK YOU!!!

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COT-1-2022-2023-presentation.pptx

  • 1. FINDING THE PERCENTAGE IN A GIVEN PROBLEM
  • 3.
  • 4. What’s your target score in a 20 item quiz? Is it 75%, 80%, 90% or 100%?
  • 5. • Jouriz, a girl from a farm village is a diligent and studious pupil. She goes to school every day and does her work well. She never skip studying her lesson every night. When she took their 50-item quarter examination she got 96% of it correctly. What is her score?
  • 6. DEFINITION • PERCENTAGE- is the number or the amount that represents a part of the whole. • - after the word “is” Formula • Percentage = Base x Rate Rate = Percentage Base • BASE - is the whole amount or the entire amount • - usually after the word “of” Formula • Base = Percentage Rate RATE- is the number compared to 100 - Usually has the percent % symbol
  • 8. To find the percentage: What is 96% of 50?  Change the rate to decimal numbers 96% = move 2 decimal places to the left (0.96)  And solve using the formula  P = Base x rate = 50 x 0.96 P = 48 her score
  • 9. Example 1. What is 80% of 200? P = B X R = 200 X ( 0.8) P = 160 2. Give 30 % of 150? P = B x R = 150 x (0.3) P = 45
  • 11. • 3. 6% of 200 = N P = B x R = 200 x 0.06 = 12 (e) 4. 12% of 400 P = B x R = 400 x 0.12 = 48 ( b) 5. 25 % of 240 P = B x R = 240 x 0.25 = 60 (a) Solution: 1. 75% of 100 P = B x R = 100 x 0.75 = 75 © 2. 60% of 90 P = B x R = 90 x 0.6 = 54 ( d)
  • 12. Direction: Complete the table by filling up the percentage. Base Rate Percentage 1. 40 12% 2. 175 80% 3. 40 75% 4. 300 40% 5. 60 25%
  • 13. Generalization To find the percentage use the formula: Percentage = Rate x Base (P = R x B) Express the rate as a decimal by moving the decimals by moving the decimal point twice from the left. Multiply the number following the steps in multiplication.
  • 14. EVALUATION • Direction: Find the Percentage on the following items: • 1. What is 30 % of 150? • 2. What is 50% of 100? • 3. 75% of 30 is what number? • 4. Give 25% of 500 • 5. 10% of 60 is N •
  • 15. V. ASSIGNMENT Find the value of N a. 10 % of 45 = n b. 12% of 89 =n c. 25% of 500?