A) 2.5% increase
B) 0.25% increase
C) 0.25% decrease
D) 2.5% decrease
Correct Answer: C
Solution :
Let the initial length and breadth of the rectangle be x and y respectively. \[\therefore \] Initial area \[=xy\] Now, new length \[=x-\frac{5}{100}x=\frac{19}{20}x\] New breadth \[=y+\frac{5}{100}\,y=\frac{21}{20}y\] \[\therefore \] New area \[=\frac{19}{20}x\times \frac{21}{20}y=\frac{399}{400}xy\] Area is decreased by the percent \[=\frac{xy-\frac{399}{400}y}{xy}\times 100\] \[=\frac{\frac{1}{400}xy}{xy}\,\times 100\] = 0.25%
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