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If the length of the rectangle is increased by 40% and breadth decreases by 50% and this whole process is repeated again then what will be the percentage change in area?
10%
90%
50%
51%
40%
- Start with the original length (L) and breadth (B).
- First change:
- Increase length by 40%: New length = 1.4L
- Decrease breadth by 50%: New breadth = 0.5B
- New area after first change = 1.4L * 0.5B = 0.7LB
- Second change (repeat the process):
- Increase new length by 40%: New length = 1.4 * 1.4L = 1.96L
- Decrease new breadth by 50% again: New breadth = 0.5 * 0.5B = 0.25B
- New area after second change = 1.96L * 0.25B = 0.49LB
- Compare with original area (LB):
- Change in area = (0.49LB - LB) / LB = -0.51 or -51%
- Conclusion: The area decreases by 51%.
- Correct Option: 51%
Option: 4 - 51%
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By: Parvesh Mehta ProfileResourcesReport error
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