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category manager director number x y average salary m d subtotal salary m*x d*y
average salary for the whole group = (m*x + d*y) /(m+d)
We need to find the value of y/(x+y)
1) m+5k = (m*x + d*y) /(x+y) 2) d - 15k = (m*x + d*y) /(x+y)
Apparently if combining 1) and 2), we have m = (d - 20k)
So (d-20k) + 5k = [(d-20k)*x + d*y]/(x+y) d - 15k = d -(20k)*x/(x+y) 15/20 = x/(x+y) y/(x+y) = 1/4
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