Question

A woman making $1500 per month has her salary reduced by 10% 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.What percent change is this from the $1500 per month?

Answer 1

17 %

Explanation:

new salary=1500(0.9)(1.3) =1755 $

increase=1755-1500=255 $

% increase=(255/1500)×100=17

Answer 2

• after the raise, her salary is $1755 per month
• this is a +17% change from her original salary

Explanation:

The multiplier of her original salary to her reduced salary is ...

(1 - 10%) = 0.90

The multiplier of her reduced salary after her raise is ...

(1 +30%) = 1.30

The multiplier of her raised salary from her original salary is ...

(0.90)(1.30) = 1.17 = (1 +17%)

Her salary after the 17% raise is ...

1.17·1500/mo = $1755/mo