And going for the trifecta..
What we know
employees >= 5 = 40% -- 1
employees <10 = 90 %
This implies that 10% of the employees have >= 10yrs experience. -- 2
We are also given that 16 employees have greater than 10 yrs experience.
If n is the total number of employees. 0.1n=16 or n = 160
out of these 30% are in the range, [ 5 < yrs of experience < 10 ]
(remember that >5 includes the employees who have greater than 10yrs of work ex)
Thus answer is 0.3n = 48 (A).
Man it took 3 minutes longer to type the answer than it took to solve the problem.
I used the table to solve it, but I lost in the gem. Could you figure out the boldface and colored above? I still not get it. Thank you!
Let me rephrase the answer, lets see if this conveys it better
The problem says that 40% of the employees have work experience of at least 5 years
The problem also says that 16 employees have work experience of at least 10 years.
If the total number of employees = n,
the number of people who are between 5 and 10 years of experience = \(((40/100) * n) - 16\) -- 1
The problem also says that 90% of employees have < 10 years experience. From this statement we see that the 16 employees who have more than 10 years of experience, constitute only 10%
of the work force.
Thus \((10/100) * n =16\)
Solving for this we get n=160. Substitute this in 1 and the answer works out to 48..