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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Length of towel =x
Breadth =y
decrease in length=x-x×20%=4x/5
Decrease in breadth=y-y×10%=9y/10
Previous area=xy
New area=4x/5×9y/10=36xy/50
Decrease in area=xy-36xy/50=14xy/50
Increase in area=14xy/50×100/xy=28%
Hence decrease in area=28%
Breadth =y
decrease in length=x-x×20%=4x/5
Decrease in breadth=y-y×10%=9y/10
Previous area=xy
New area=4x/5×9y/10=36xy/50
Decrease in area=xy-36xy/50=14xy/50
Increase in area=14xy/50×100/xy=28%
Hence decrease in area=28%
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