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A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

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1. 

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

[A]. 10%
[B]. 10.08%
[C]. 20%
[D]. 28%

Answer: Option D

Explanation:

Let original length = x and original breadth = y.

Decrease in area
= xy - 1-sym-oparen-h1 80 x x 90 y 1-sym-cparen-h1
100 100
 
= 1-sym-oparen-h1 xy - 18 xy 1-sym-cparen-h1
25
 
= 7 xy.
25
 Decrease % = 1-sym-oparen-h1 7 xy x 1 x 100 1-sym-cparen-h1% = 28%.
25 xy
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