3. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
โขTo find 10% divide the original number by ten.
โขTo find 20% find 10% and double it.
โขTo find 50% half it.
โขTo find 25% half it, and half it again.
โขTo find 5% find 10% and half it.
โขTo find 1% divide by 100.
Quick percentage calculations
4. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Percentages of Amounts
โข Calculate 50% of 60
50% =
1
2
1
2
of 60 = 60 รท 2
= 30
โข Calculate 25% of 60
25% =
1
4
1
4
of 60 = 60 รท 4
= 15
โข Calculate 10% of 60
10% =
1
10
1
10
of 60 = 60 รท 10
= 6
5. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Percentages of Amounts
โข Calculate 30% of 60
โข First calculate 10%
10% = 60 รท 10
= 6
โข If 10% = 6, then 30% = 6 x 3 = 18
6. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Tool kit:
We can
easily find-
1%
10%
20%
25%
50%
Find 60% of
900g
50%
10%
450g
90g
60% 540g
60% of 900g=540g
7. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Tool kit:
We can
easily find-
1%
10%
20%
25%
50%
Find 21% of
400
20%
1%
80
4
21% 84
21% of 400=84
8. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Tool kit:
We can
easily find-
1%
10%
20%
25%
50%
Find 46% of
500
25%
46% of 500=230
20%
1%
125
100
5
230
46%
9. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Tool kit:
We can
easily find-
1%
10%
20%
25%
50%
Find 72% of
500
50%
72% of 500=360
20%
1%
250
100
5
1%
72%
5
360
x2
10. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
A computer accessories shop increased the price of
one of its printers from ยฃ80 to ยฃ100. Find the
percentage increase in price.
Percentage change
Original Price New Price
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
๐๐๐ค ๐ฃ๐๐๐ข๐ โ ๐๐๐๐๐๐๐๐ ๐ฃ๐๐๐ข๐
๐๐๐๐๐๐๐๐ ๐ฃ๐๐๐ข๐
ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
100 โ 80
80
ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
20
80
ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ = 0.25 ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ = 25%
11. Mr Mahfooz
04/11/2023
TB Page 225-229 Lesson 10.1 Percentage increases and decreases
Percentage change
Find the percentage decrease in the cost of the car in the sale. (1 decimal place)
Original Price Sale Price
Sale
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
๐๐๐ค ๐ฃ๐๐๐ข๐ โ ๐๐๐๐๐๐๐๐ ๐ฃ๐๐๐ข๐
๐๐๐๐๐๐๐๐ ๐ฃ๐๐๐ข๐
ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
33000 โ 39500
39500
ร 100
๐๐๐๐๐๐๐ก๐๐๐ ๐โ๐๐๐๐ =
โ6500
39500
ร 100
In this case the
change is an
decrease. ๐ท๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐ = ๐๐. ๐%
26. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
Percentage increase
The original amount is 100%:
100% 20%
We now have 120%
Find the result in a single calculation.
Now we add 20%
The value of Yousafโs house has gone up by 20% in the
last year. If the house was worth ยฃ150 000 1 year ago,
how much is it worth now?
27. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
120% = 120
100
= 1.20
So multiply by 1.2
Original Change New Multiplying Factor
100% +/- 100% +/- Change New/100
100% +20% 100% + 20% = 120% 120% รท 100 = 1.2
100% -25% 100% - 25% = 75% 75% รท 100 = 0.75
New value = Original value ร Multiplying Factor
28. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
120% of ยฃ150 000 = ยฃ180 000
So Yousafโs house is now worth
= ยฃ180 000
Soโฆโฆโฆโฆโฆ..
ยฃ180 000 = 1.2
ร
ยฃ150 000
Multiplying Factor = 1.2
Original = ยฃ150 000
New value = Original value ร Multiplying Factor
29. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
Here are some more examples using this method
Increase ยฃ50 by 60%.
Percentage increase
Increase ยฃ86 by 7%.
160% ร ยฃ50 = 1.6 ร ยฃ50
= ยฃ80
107% ร ยฃ86 = 1.07 ร ยฃ86
= ยฃ92.02
31. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
Percentage decrease
100% 30%
We now have 70% of the original amount.
70%
The original amount is 100% like this:
Now we subtract 30%
A CD walkman originally costing ยฃ75 is reduced by
30% in a sale. What is the sale price?
32. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
70% = 70
100
= 0.70
So multiply by 0.7
Original Change New Multiplying Factor
100% +/- 100% +/- Change New/100
100% +20% 100% + 20% = 120% 120% รท 100 = 1.2
100% -25% 100% - 25% = 75% 75% รท 100 = 0.75
New value = Original value ร Multiplying Factor
33. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
70% of ยฃ75 = ยฃ52.50
So the sale price = ยฃ52.50
Soโฆโฆโฆโฆโฆ..
ยฃ52.50 = 0.7
ร
ยฃ75
Multiplying Factor = 0.7
Original = ยฃ75
New value = Original value ร Multiplying Factor
34. Mr Mahfooz
04/11/2023
TB Page 230-234 Lesson 10.2 Using a multiplier
Here are some more examples using this method:
Percentage decrease
Decrease ยฃ320 by 3%.
Decrease ยฃ65 by 20%.
80% ร ยฃ65 = 0.8 ร ยฃ65
= ยฃ52
97% ร ยฃ320 = 0.97ร ยฃ320
= ยฃ310.40