Area - Arithmetic Aptitude Questions and Answers

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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:

10%

10.08%

20%

28%

Answer : Option D

Explanation :

Let original length = x and original breadth = y

Decrease in area =XY-[ $\frac { 80} { 100 }$ xx $\frac { 90 } { 100 } Y]$

=[xy- $\frac { 18 } { 25 }XY ]$

= $\frac { 7 } { 2 5}$ xy

Decrease % =[ $\frac { 7 } { 2 5}$ xy x $\frac { 1 } { XY }$ x100]%=28%

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