2 Fractions, decimals and percentages
Take a look: Pay increase
Jim’s salary is £32 000 per year.
He pays tax of 20% on everything he earns above £6500
(a) How much tax does Jim pay per year?
Jim is going to get a pay rise of 5%.
(b) How much money will Jim take home each month after the pay rise?
First work out how
R
Here’s a possible solution:
much money Jim pay’s tax on
a) 32 000 6500 25 500
0.2 25 500 £5100
Calculate 20% of 25 500
A
Jim pays £5100 tax each year.
First work out Jim’s
A
new salary
b) 0.05 32 000 1600
32 000 1600 33 600
Work out how much
A
33 600 6500 27 100
money Jim has each month
0.2 27 100 5420
after paying tax
33 600 5420 28 180
28 180 12 = 2348.333…
The answer is a sum of
I
money. Give your answer to
Jim takes home £2348.33 each month.
two decimal places
Have a go
4 Here is a question in a survey: “What proportion of your monthly income do
you save?”
Think First!
Think First!
Here are the responses of three people:
Decide if you want to
Sam
Jon
Ella
compare the responses
using percentages or
fractions.
Who saves the smallest proportion of income?
Fact
Fact
5 David wants to know his weight in kilograms.
David weighs 17 stone 3 pounds.
1 stone 14 pounds
1 kg 2.2 lbs
Work out David’s weight in kilograms.
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