Question

A woman making $1500 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. $ 1560 Correct: Your answer is correct. per month What percent change is this from the $1500 per month? 13 Incorrect: Your answer is incorrect. %

Answer 1

Answer:

A) Her salary after the raise is $1560 /month

B) 4% a month

Explanation:

(a)

A woman was making salary / month = $1500

Reduced % in salary = 20%

Reduced amount in salary/month = $1500 x 20% = $300 /month

Salary after reduced amount  = $1500 - $300 = $1200 /month

A year later after a dramatic improvement in sales, increment % in salary

= 30% over reduced salary

= 1200 x (30/100) ==> $360 /month

Salary after increment = $1200 + $360 ==> $1560 /month

∴ the salary after raise is $1560 /month

(b)

starting salary = $1500 /month

Salary increment = $1560 - $1500 =$60 /month

%change =  (Salary Increment / starting salary) x 100

               = (60/1500) x 100

               = 4% a month