Fractions And Percentages Worksheet Page 9

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MEP Pupil Text 11
11.3
11.
Adrian finds that in a delivery of 500 bricks there are 20 broken bricks.
What percentage of the bricks are broken?
12.
A glass of drink contains 50 ml of fruit juice and 200 ml of lemonade.
What percentage of the drink is lemonade?
13.
A recent survey shows that there are 20 000 different types of fish in the world.
People catch only 9000 different types. What percentage of the different types of
fish do people catch?
(NEAB)
14.
Georgina buys a bar of chocolate.
The bar is divided into 18 equal pieces.
(a)
Georgina eats three pieces of chocolate.
What fraction of the bar has she eaten?
3
(b)
Later in the day Georgina eats
of the pieces that are left.
5
How many pieces of chocolate have been eaten altogether?
(c)
What percentage of the bar has not been eaten?
(SEG)
11.4 More Complex Percentages
Not all percentages can be expressed as simple fractions and often figures such as 4.26%
may need to be used. In these cases it is often better to work with decimals.
Worked Example 1
The cost of a hotel bill is £200. VAT at 17.5% has to be added to this bill. Find the VAT
and the total bill.
Solution
Use 17.5%
=
0.175.
Then
=
×
17.5% of £200
0 175
.
£
200
= £35
.
So the total bill is
+
=
£
200
£
35
£
235
.
Worked Example 2
Imran has £486.27 in his building society account which earns interest of 8.21% per year.
How much interest does he get and how much money does he have in his account after
the first year?
242

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