Units Of Measurement And Applications Worksheet Page 32
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443
Increase the following.
a
b
c
$450 by 28 %
15 m by 75 %
2 t by 1.5 %
1 _
2 _
d
e
f
$6 by 200 %
40 s by 62
%
300 L by 6
%
2
3
4
Decrease the following.
1 _
a
b
c
4.8 km by 19 %
120 kg by 13.2 %
57 s by 33
%
3
1 _
d
e
f
$456 by 8.5 %
$3000 by 2
%
4.2 ha by 15.6%
4
5
What would be the value of a $10 000 share portfolio at the end of 2 years if the shares:
a
increase in value by 15 % in the fi rst year and then increase in value by 12 % in the second year?
b
increase in value by 20 % in the fi rst year and then decrease in value by 8 % in the second year?
c
decrease in value by 14 % in the fi rst year and then increase in value by 16 % in the second year?
d
increase in value by 10 % in the fi rst year and then decrease in value by 10 % in the second year?
e
decrease in value by 10 % in the fi rst year and then increase in value by 10 % in the second year?
f
decrease in value by 25 % in the fi rst year and then increase in value by 33 % in the second year?
6
A car that cost $28 900 new depreciated in value by 22 % in the fi rst year, by 20 % in the second year and by
18 % in the third year. What was its value at the end of 3 years?
change in value
_____________
Percentage change =
× 100%
original value
WORKED EXAMPLE 3
A stamp collection was bought for $3600. In the
fi rst year its value increased by 5%. In the second
year it increased in value by a further 6%.
a
Calculate its value at the end of the fi rst year.
b
Calculate its value at the end of the second year.
c
What is the overall change in its value after
2 years?
d
Find the percentage change in value over the
2 years.
Solve
Think
Apply
Value after 1 year = 105% of $3600
a
Calculate the value
Percentage change
105
____
at the end of the fi rst
change in value
=
× 3600 = $3780
_____________
=
× 100%
100
year. Use this result to
original value
Value after 2 years = 106% of $3780
b
calculate the value at
106
____
=
× 3780 = $4006.80
the end of the second
100
year. Find the overall
Overall change in value = $4006.80 − $3600
c
change in value
= $406.80
over these 2 years.
d
Percentage change in value over 2 years
Calculate the
change in value
_____________
percentage change in
=
× 100%
original value
value over these
406.8
_____
=
× 100% = 11.3%
2 years.
3600
66
Insight Mathematics General 11
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