A) 12.5% increase
B) 10% increase
C) 25% increase
D) 20% increase
Correct Answer: A
Solution :
Let the initial length and the breadth of the rectangle be x and y respectively. \[\therefore \] Initial area \[=xy\] Now, new length \[=x+x\times \frac{50}{100}\,=\frac{3x}{2}\] And new breadth \[=y-y\times \frac{25}{100}=\frac{3y}{4}\] \[\therefore \] New area \[=\frac{3x}{2}\,\times \frac{3y}{4}=\frac{9xy}{8}\] Clearly, new area is more than the initial area. \[\therefore \] Increarnent in percent in area \[=\frac{\frac{9xy}{8}-xy}{xy}\,\times 100%=12.5%\]
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