Question

The salary was increased by 10% & then the increased salary decreased by 10%. Find the net increase or decrease in original salary

Answer 1

let us take an example ....initial salary was 100 .... a 10% increase in salary would result in 110 that is 100+10 and then if 10% is deducted from the increased salary that is 110 therefore final salary is 99 that is 110-11 ...... so there is a net decrease of 1% in the salary

Answer 2

Let the original salary be x.

After increase by 10%, salary is
$x + (x \times \frac{10}{100} ) = 1.1x$
After decrease by 10%, final salary is
$1.1x - (1.1x \times \frac{10}{100} ) = 0.99x$
Thus, change in salary is
Final salary - Original salary
= 0.99x - x = -0.01x

So, there is net decrease in original salary by 1%