If the length of a rectangle is increased by 50% and breadth is decreased by 25%, what is the percentage change in its area ?
A. 12.5% increase
B. 10% increase
C. 25% increase
D. 20% decrease
Answer: Option A
Solution(By Examveda Team)
Let the original length and breadth of the rectangle be $$l$$ and b respectivelyNew length :
$$ = 150\% {\text{ of }}l = \frac{{3l}}{2}$$
New breadth :
$$ = 75\% {\text{ of }}b = \frac{{3b}}{4}$$
Original area = $$lb$$
New area :
$$\eqalign{ & = \left( {\frac{{3l}}{2} \times \frac{{3b}}{4}} \right) \cr & = \frac{{9lb}}{8} \cr} $$
Increase in area :
$$\eqalign{ & = \left( {\frac{{9lb}}{8} - lb} \right) \cr & = \frac{{lb}}{8} \cr} $$
∴ Increase % :
$$\eqalign{ & = \left( {\frac{{lb}}{8} \times \frac{1}{{lb}} \times 100} \right)\% \cr & = 12.5\% \cr} $$
Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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