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.

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Question 1207705: 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.
Found 3 solutions by ikleyn, Edwin McCravy, greenestamps:
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
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.

Solved.



Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
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.
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
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


And yet another way....

She saves 20% (1/5) of her salary each month, and her monthly savings increased by $22, so the amount of increase in her salary was 5($22) = $110.

The increase of $110 is a 10% (1/10) increase in her salary, so the amount of her old salary was 10($110) = $1100.

Her old salary was $1100, and it increased by $110. Her new salary is

ANSWER: $1210
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