Abhishek and Sue's total salary would be $3000 after a much anticipated salary increase of 50%. Abhishek's salary is 50% more than Sue's salary before the increase. Find the salary of Abhishek's before the increase.
Question
Abhishek and Sue's total salary would be $3000 after a much anticipated salary increase of 50%. Abhishek's salary is 50% more than Sue's salary before the increase. Find the salary of Abhishek's before the increase.
Solution
Let's denote Sue's salary before the increase as S and Abhishek's salary before the increase as A.
From the problem, we know that:
- A = S + 0.5S = 1.5S (since Abhishek's salary is 50% more than Sue's)
- A + S = 3000, the total salary before the increase would be 2/3 of that, which is $2000)
Substituting the first equation into the second gives us:
1.5S + S = 2000
Solving for S gives us:
S = 800
Substituting S = $800 into the first equation gives us:
A = 1.5 * 1200
So, Abhishek's salary before the increase was $1200.
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