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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:

/ Aptitude, Area / By
Question:
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 – 80 x x 90 y
100 100
= xy – 18 xy
25
= 7 xy.
25
Decrease % = 7 xy x 1 x 100 % = 28%.
25 xy