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If the length of a rectangle is increased by 14.28 percent then by how much percentage its breadth should be reduced to keep the area same?
Question

If the length of a rectangle is increased by 14.28 percent then by how much percentage its breadth should be reduced to keep the area same?

A.

12.5 percent

B.

14.28 percent

C.

14 percent

D.

16.66 percent

Correct option is A

Given:
Length increased by 14.28%, New length = 8 units (original 7 units)
Formula Used:
% decrease in breadth = (Old Breadth - New Breadth) / Old Breadth × 100
Solution:
14.28% → 1/7
Length changes from 7 to 8.
Breadth changes from 8 to 7.
Percentage decreased in breadth size = {(8 - 7)/8} × 100 = 12.5% ​​​​

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