Question

The sum of numbers when a number is increased by 10% than decreased by 10% is 100. What is a number.​

Answer 1

Answer:

Let the number is increased by 10%

x+

100

10x

=

10

11x

The number is decreased by 10%

=

10

11x

−

10

11x

×

100

10

=

10

11x

−

100

11x

=

100

99x

Decrease in percentage is

Decrease =x−

100

99x

=

100

x

So, Decrease %

=

x

100

x

×100%

=1%

Answer 2

Step-by-step explanation:

let the numbers is x

if 10% increase

then number = 110/100 x

= 11/10x

then 10% decrease

then number = 90/100 × 11/10 x

= 99/100 x

so 99/100 x = 100

or x = 100× 100/99

= 10000/99

= 101 1/99