Question

The length of a rectangle is increased by (x+2.5) percent. Its breadth is decreased by (x-2.5) percent. Find x if its area is unaltered.

Answer 1

Answer:

Correct option is

A

37

2

1

%

Let length of rectangle =100 m

breadth =100 m

Original Area =100×100=10000m

2

New length =160 m

Let new breadth =x

New Area =160x

Since area of rectangle remains same

∴10000=160x

∴x=

2

125

Decrease in breadth =(100−

2

125

)%

=37.5%