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:
Answer: Option D
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Let original length = x and original breadth = y.
Decrease in area = \(xy-\left(\frac{80}{100}x\times\frac{90}{100}y\right)\)
= \(\left(xy-\frac{18}{25}xy\right)\)
= \(\frac{7}{25}xy\)
So, Decrease % = \(\left(\frac{7}{25}xy\times\frac{1}{xy}\times100\right)\) % = 28%
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