Question

Madhavs salary is first increased by x% and then decreased by x%. As a result his salary is decreased by what percent

Answer 1

let madhavs salary be 100
so if it is increased by x % it becomes

100(1+x/100)

100(100+x)/100
100+x

now his salary is decreased by x %

therefore

(100+x)*(1-x/100)
(100+x)*(100-x)/100
(100^2-x^2)/100

therefore decrease in salary is


x-(100^2-x^2)/100
decrease % is
x-(100^2-x^2)/100x*100

x-(100^2-x^2)/x
1-(100^2-x^2)/x