Let the amount of money with X, Y and Z be $x$, $y$ and $z$.

As per the question, If Y gives me Rs. 40, then Y will have half of as much as Z. That is, $y - 40 = z/2$ Or $z = 2y - 80$ .....(i)

If Z gives me Rs. 40, then three of us will have equal amount. That is, $x + 40 = y = z - 40$ So, $x = y - 40$ And $z = y + 40$ .....(ii)

Using statements (i) and (ii), we get: $2y - 80 = y + 40$ Or $y = 120$ So, $x = y - 40 = 120 - 40 = 80$ And $z = y + 40 = 120 + 40 = 160$

So, money with X, Y and Z will be Rs. 80, Rs. 120, and Rs. 160.

Total amount of money with X, Y and Z = $x + y + z = 80 + 120 + 160 =$ Rs. 360