Initially got A

, but it should be D.

Let:

x = number of FT employees in div X

y = number of FT employees in div X

p = number of FT employees in div Y

q = number of FT employees in div Y

What is asked?

Is x/y > (x+p)/(y+q)

=> Is x/y > p/q?

1. Given, p/q < (x+p)/(y+q)

=> p/q < x/y Hence SUFF.

2. 1/2(x+p) < x and 1/2(y+q) < q

or

x/(x+p) > 1/2 & q/(y+q) > 1/2

Add these 2:

x/(x+p) + q/(y+q) > 1

xy+xq+xq+pq > xy+xq+py+pq

=> x/y > p/q

Hence D.

_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds