Question

A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year later, after a dramatic improvement in sales, she is given a 30% raise over her reduced salary. Find her salary after the raise. $ per month What percent change is this from the $3000 per month? %

Answer 1

The woman's salary after the raise is $3120 per month. The percent change from the original salary of $3000 is 4%.

Step-by-step explanation:

To find the woman's salary after the raise, we need to follow these steps:

1. Calculate the reduced salary after a 20% decrease:
   20% of $3000 = $3000 * 0.20 = $600
   Reduced salary = $3000 - $600 = $2400
2. Calculate the raise from the reduced salary:
   30% of $2400 = $2400 * 0.30 = $720
3. Add the raise to the reduced salary:
   New salary = $2400 + $720 = $3120

The woman's salary after the raise is $3120 per month.

To find the percent change from the original salary of $3000, we can use the formula:

Percent change = (New value - Original value) / Original value * 100

Percent change = ($3120 - $3000) / $3000 * 100 = 4%

Answer 2

4%

Step-by-step explanation:

Since she first goes down 20% you would do 3000 times 20 which is 60000 and divided by 100 which is 600 and you would subtract 600 from 3000 which is 2400 and then you would multiply that by 30 which is 72000 and then you would divide by 100 which is 720 and add that to 2400 which is 3120 and to find the percent change from 3000 to 3120 you would subtract 3120 by 3000 which is 120 and you would divide that by 3000 which is 0.04 and multiply that by 100 which is 4 so the percent change would be 4%