The length of a rectangle increases by 15%. Find the percentage decrease in the breadth in order to maintain the area constantly. (Rounded off to 2 decimal places)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 13.04%
Original area = L × B
New length = 1.15L
Let new breadth = xB
⇒ 1.15L × xB = L × B
So, 1.15x = 1
x = 1 / 1.15 = 0.869565...
Percentage decrease in breadth = (1 - 0.869565) × 100 = 13.04%