Bunuel wrote:

Over the next ten years, the sales department of a company plans to increase its staff by 20 percent while the human resources department plans to decrease its staff by 10 percent. If there are currently two hundred total employees between the two departments, and three times as many people work in the sales department as work in the human resources department, how many people will there be in both departments in ten years?

A. 235

B. 225

C. 210

D. 205

E. 200

Employees nowThere are 200 total employees. There are three times as many in sales as in HR, which is sometimes hard to translate.

For every one HR worker, there are three salespeople: \(\frac{HR}{S} = \frac{1}{3}\)

S = 3HR

HR + S = 200

HR + 3HR = 200, 4HR = 200 ->

HR = 50

S = 3HR = 150

In 10 years. Read carefully.

Sales will INcrease by 20 percent

(1 + .20) = 1.2

1.2 * 150 =

180HR will DEcrease by 10 percent

(1 - 0.10) = .90

.90 * 50 =

45(180 + 45) = 225 people in 10 years

Answer B

_________________

In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"