SOLUTION: Before Marium changed jobs, her salary was 24 percent more than Maria’s salary. After Marium changed jobs, her new salary was 24 percent less than her old salary. If quantity A i

Question 1201236: Before Marium changed jobs, her salary was 24 percent more than Maria’s salary. After Marium changed jobs, her new salary was 24 percent less than her old salary. If quantity A is Maria’s salary and quantity B is Marium’s new salary, then:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
A = maria's salary
B = marium's salary
before changing jobs, marium's salary was 24% more than maria's.
equation for that is B = 1.24A
after changing jobs, marium's salary wwas 24% less than her previous salary.
equation for that is:
B = .76B
since B = 1.24A in the first equation, then replace B with 1.24A in the right side of the second equationA to get:
B = .76 * 1.24A
simplify to get:
B = .9424A.

this suggests that, before she changed jobs, her salary was 24% higher than marium's, and after she changed jobs, her salary was 94.24% as large as mariuum's.
94.24% as large means that it is 5.76% less than marium's (94.24% minus 100% =
-(100 = 94.24) = -5.76%.

to see if this makes sense, then pick a salary for maria, at random, that makes some kind of sense, like 20,000 per year.
since marium's salary, before she changed jobs, was 24% higher, then marium must have been making 24,800.

when marium changed jobs, she would have been making .76 * 24,800 = 18,848.
20,000 minus 18,848 = 1,152
1,152 / 20,000 = .0576.
.0576 * 100, = 5.76%.
marium was now making 1,152 less than 20,000 which is 5.76% less than 20,000
18,848 is also 18,848 / 20,000 = .9424 as large as 20,000.
multiply that by 100, which makes it 94.24% as large as 20,000.

the figures check out, so the solution looks good.

i'm not exactly sure what you are looking for, but i get:
marium's new salary is 94.24% as large as maria's, which is 5.76% less than maria's.

RELATED QUESTIONS
After Sarah received a 5% raise, her annual salary was $71,400. What was her annual... (answered by srinivas.g)

Mary's salary was increased by 10%. She now earns $1650. What was her salary... (answered by fractalier)

help An assistant receives a 5% raise bringing her salary to $42,280. What was her... (answered by poliphob3.14)

An editorial assistant receives an 8% raise, bringing her salary to $42,066. What was her (answered by jorel1380)

Sandra saves 15% of her salary for retirement. This year her salary was $1,000 more than... (answered by ikleyn)

Professor Diamond received a 5% raise. Her new salary is $42,000. What was she making... (answered by jim_thompson5910)

An employee's new salary is $119,110 after getting a 5% raise. What was the salary... (answered by checkley71)

Kathleen's weekly salary was increased eight percent. She now makes $237.60 a week.... (answered by alicealc)

a Employees new salary is $26,355 after getting a 5% raise, what was the employees salary (answered by stanbon)