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?

Question

Mathematics

Ellen Knight

20 April, 03:42

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?

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Answers (2)

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Lexi Murray · Answer 1

17 %

Step-by-step explanation:

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

increase=1755-1500=255 $

% increase = (255/1500) * 100=17

Camille Schmidt · Answer 2

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

Step-by-step 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