Question

Sandra started her job with a salary of 27,500. She received a 10% raise at the beginning of the next year. What is her salary for the 2nd year?

Answer 1

$27500 \times 1.10 = 30250$

Answer 2

Answer:

$30,250

Step-by-step explanation:

Step 1:  Find out what 10% of $27,500 is

First, change 10% to the decimal equivalent of 0.1   (divide 10 by 100)

Step 2:  Multiply $27,500 by 0.1

$27,500(0.1) = $2,750

Her raise was $27,50

Step 3:  Add her raise to her salary

$27,500 + $2,750 = $30,250,

This is her salary for year 2.

*A shortcut when multiplying with percent is to look at it as, in the second year, she is making 100% of her previous salary, plus 10% including the raise, so she's making 110% of what she used to.  

Change 110% to a decimal by diving by 100.  

  110/100 = 1.1

Now multiply $27,500 by 1.1

  $27,500(1.1) = $30,250