A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the
percentage of decrease in area?
Let original length = 100 and original breadth = 100
Then original area = 100 × 100 = 10000
Lost 20% of length
⇒
New length = Original length
×
(
100
−
20
)
100
=
100
×
80
100
=
80
Lost 10% of breadth
⇒
New breadth= Original breadth
×
(
100
−
10
)
100
=
100
×
90
100
=
90
New area = 80 × 90 = 7200
Decrease in area = Original Area - New Area = 10000 - 7200 = 2800
Percentage of decrease in area =
Decrease in Area
Original Area
×
100
=
2800
10000
×
100
=
28
%
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