Units Of Measurement And Applications Worksheet Page 31
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442I
Percentage change
Percentage change
WORKED EXAMPLE 1
a
b
Increase 180 by 14%.
Decrease 96 by 35%.
Solve
Think
Apply
180 + 14% of 180
114
To increase a quantity
____
114% of 180 =
× 180
a
= 100% of 180 + 14% of 180
100
by x %, fi nd (100 + x )%
= 205.2
= 114% of 180
of the quantity.
114
____
=
× 180
100
= 205.2
96 − 35 % of 96
65
To decrease a quantity
____
65% of 96 =
× 96
b
= 100 % of 96 − 35 % of 96
100
by x %, fi nd (100 − x )%
= 62.4
= 65 % of 96
of the quantity.
65
____
=
× 96
100
= 62.4
EXERCISE 2I
1
Increase the following.
13D
a
b
c
160 by 12 %
240 by 35 %
850 by 8 %
1 _
d
e
f
466 by 20 %
285 by 100 %
300 by 7
%
4
2
Decrease the following.
a
b
c
86 by 25 %
350 by 40 %
780 by 16 %
1 _
d
e
f
115 by 30 %
480 by 24 %
520 by 12
%
2
WORKED EXAMPLE 2
a
b
Increase $75 by 20%.
Decrease 3 m by 12%.
Solve
Think
Apply
$75 + 20% of $75
To increase a quantity
120
____
a
120% of $75 =
× $75
by x %, fi nd (100 + x )% of
100
= 100% of $75 + 20% of $75
= $90
= 120% of $75
the quantity.
120
____
=
× $75 = $90
100
3 m − 12% of 3 m
To decrease a quantity
88
____
b
88% of 3 m =
× 3 m
by x %, fi nd (100 − x )% of
= 100% of 3 m − 12% of 3 m
100
= 2.64 m
= 88% of 3 m
the quantity.
88
____
=
× 3 m = 2.64 m
100
Chapter 2
Units of measurement and applications
65
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