SOLUTION: Hi Rashna saves 20% of her salary every month. When her salary increases by 10% her monthly savings increases by $22. How much is her new salary.

Let x be her new salary, per month (in dollars).

Then her old salary was    dollars per month.


We are given that

    0.2x -  = 22  dollars.


From this equation

    x -  = 

    x -  = 110

    1.1x - x = 110*1.1

       0.1x  = 121

          x  =   = 1210.


ANSWER.  Her new salary is 1210 dollars per month.

Alternate way to proceed.

Let her old salary be x.
When making her old salary, she saved 20% times x or 0.20x

Hew new salary is x+10%x or x+0.10x or 1.00x+0.10x or 1.10x
When making her new salary, she saves 20% times 1.10x, which is 0.20(1.10x) or 0.22x

What she now saves is $22 more than what she was saving when making her old
salary, which was 0.20x, so

0.20x + 22 = 0.22x
        22 = 0.22x - 0.20x
        22 = 0.02x
      1100 = x    <--her old salary

Her old salary was $1100. She received a 10% raise, so her new salary
is $1100+$110 or $1210.

Edwin