The length of a rectangular plot is increased by 60\% . By how much percentage should its breadth be decreased so that the total area remains the same - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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The length of a rectangular plot is increased by 60% . By how much percentage should its breadth be decreased so that the total area remains the same?

Solution & Step-by-step Explanation

Let the original length be L and breadth be B . Original Area = L \times B .New length L^{'} = L + 0.60 L = 1.60 L = \frac{8}{5} L .Let the new breadth be B^{'} . Since the area remains the same: L^{'} \times B^{'} = L \times B \frac{8}{5} L \times B^{'} = L \times B B^{'} = \frac{5}{8} B Percentage decrease in breadth: Percentage Decrease = \frac{B - B ^{'}}{B} \times 100% = \frac{B - \frac{5}{8} B}{B} \times 100% = \frac{3}{8} \times 100% = 37.5%

Try it yourself before checking the explanation above.

The length of a rectangular plot is increased by 60% . By how much percentage should its breadth be decreased so that the total area remains the same?

52.5

60

40

37.5

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