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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.

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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:

  1. A = S + 0.5S = 1.5S (since Abhishek's salary is 50% more than Sue's)
  2. A + S = 2000(sincethetotalsalaryaftera502000 (since the total salary after a 50% increase is 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 = 20002.5S=2000 2.5S = 2000

Solving for S gives us:

S = 2000/2.5=2000 / 2.5 = 800

Substituting S = $800 into the first equation gives us:

A = 1.5 * 800=800 = 1200

So, Abhishek's salary before the increase was $1200.

This problem has been solved

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