adineo
Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. The two companies merge, every employee stays with the resulting company, and no new employees are added. If the resulting companyís workforce consists of 25 percent managers, what percent of the workforce originated from Company A?
(A) 10%
(B) 20%
(C) 25%
(D) 50%
(E) 75%
I love so solve such problem using algorithm.
Here-
-------------------M--------E-------SS
C1 --------------10 %---90%----0%
C2---------------30%----10%---60%
As, it is given that final % of managers is 25%, so we can say 10% of C1 and 30% of C2 constitute 25% of managers in merged company.
Now, let's arrange the algorithm-
---------------10--------------------------------------30
-------------------------------------25
----------------5 (=30-25)------------------------15 (=25-15) [Calculate difference diagonally; also this is the ratio of two companies]
----------------1--------------------------------------3 (Ratio remains same after dividing both 5, and 15 with 5)
This means, Company C1 has as share of \(1 / (1+3)\) \(= 1/4\)\(= 25%\)
So, the answer is C