Task on Entry – Percentage of an Amount 760 76 38 380 190 266 Extension – Calculate: a)85% b)1%...
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Task on Entry – Percentage of an Amount 760 76 38 380 190 266 Extension – Calculate: a)85% b)1% c)18% d)17.5%
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Transcript of Task on Entry – Percentage of an Amount 760 76 38 380 190 266 Extension – Calculate: a)85% b)1%...
Task on Entry – Percentage of an Amount
760
76
38
380
190
266 Extension – Calculate:
a)85%b)1%c) 18%d)17.5%
The Percentage Multiplier
Suppose we have £550 in a bank account, which increases at 15% per year. How much would we have after 1 year?
£550
100%
£632.50
115%
x 1.15
x 1.15
The Percentage Multiplier
• What if we had £750 in a bank account, which increases at 9% per year. How much would we have after 1 year?
£750
100%
£817.50
109%
x 1.09
x 1.09
The Percentage Multiplier
Imagine we have a car worth £1200 which decreases in value by 20% in a year. How much would it be worth after a year?
£1200
100%
£960
80%
x 0.80
x 0.80
The Percentage Multiplier
A pair of shoes is reduced in a sale by 9%. If they originally cost £20.99, what is the sale price?
£20.99
100%
£19.10
91%
x 0.91
x 0.91
The Percentage Multiplier
What is the percentage multiplier for –
a) a 10% increase?b) a 24% increase?c) a 40% decrease?d) a 16% decrease?e) a 29% increase?f) a 30% decrease?g) a 120% increase?
x 1.10
x 1.24
x 0.60
x 0.84
x 1.29
x 0.70
x 2.20
PercentagesReverse Percentages
Grade A
A Guide to Reverse Percentages
?The price of the dress before the sale started
× 0.75
The percentage multiplier for a 25% decrease
= 30The sale price of the dress
In a sale all the prices are reduced by 25%. The sale price of a dress is £30. Work out the normal price of the dress.
A Guide to Reverse Percentages
=?÷ 0.75
Rearrange our equation….
30The price of the dress before the sale started was £40
In a sale all the prices are reduced by 25%. The sale price of a dress is £30. Work out the normal price of the dress.
A Guide to Reverse Percentages
?The salary of employees before the pay increase
× 1.04
The percentage multiplier for a 4% increase
= 24960Linda’s salary after the pay rise
Employees at a firm receive a pay increase of 4%. After the pay increase Linda earns £24,960. How much did Linda earn before the pay increase?
A Guide to Reverse Percentages
=?÷ 1.04
Rearrange our equation….
24960Linda’s salary before the pay rise was £24,000
Employees at a firm receive a pay increase of 4%. After the pay increase Linda earns £24,960. How much did Linda earn before the pay increase?
£550 £748.27100% ???
x 1.084
x 1.084
Recap on Compound Percentages
Tom invests £550 in an ISA, with a fixed interest rate of 8%. How much will he have in 4 years?
6777 6,000100% ???
x 0.974
÷ 0.974
Reverse Compound Percentages
Radiation is caused by carbon atoms ‘decaying’, at a rate of 3% per year. After 4 years there are 6000 atoms in a sample. How many were there to start with?
Independent Task – Reverse Percentages
