Answer : Option B

Explanation :

X's capital be C1 = 6000
Y's capital be C2 = 8000
Z's capital be C3 = 9000
X's time be T1 = 12 months
Y's time be T2 = 6 months
Z's time be T3 = 8 months
Profit = 1000

The profit will be divided in the ratio:-

(C1 * T1): (C2 * T2): (C3 * T3)
(6000*12): (8000*6): (9000*8)
i.e., 72000: 48000: 72000
Or, 72:48:72
Divide the whole equation by 24.
The ratio will be 3: 2: 3
Sum of the ratios will be 3+2+3= 8

Apply formula:

X's share = (X's ratio/ sum of all three ratios)* total profit
Hence, X's share is (3/8) * 10000 = 375
X's and Z's share are equal in ratio, so Z's share =375
Y's share = 1000 - (A + B)'s share
= 1000 - 750 = 250