X invest part of total investment for of total time duration, Y invest

SOLUTION

Let total investment = LCM (4,5) = 20

Investment of X =  unit

Investment of Y=  unit

Investment of Z= 20 – (5+4) = 11 unit

Investment ratio of X, Y & Z = 5 : 4 : 11

Ratio of time duration of X, Y and Z =

Profit earned  (Investment  Time)

Ratio of Profit earned by X, Y and Z =  = 5:8:44

Hence total profit = 57 unit

⇒ 57 unit = 5700

⇒ 1 unit = 100

Difference between profit of X & Z = 44 – 5 = 39 unit = 39×100 = Rs. 3900