Let additional amount invested by A and B is 'a' and '5a' respectively.
Ratio of their profit = [180 * 2 + (180 + a) * 3]: [X * 2 + (X + 5a) * 3]:
[300 * 3]
Total profit = [180 * 2 + (180 + a) * 3] + [X * 2 + (X + 5a) * 3] + [300* 3] = (1800 + 18a + 5X)
Part of profit received by C =
(1800+18a+5X)900=
331090 * 33 = 1800 + 18a + 5X
18a + 5X = 1170........ (1)
Total profit of B = [X * 2 + (X + 5a) * 3] = (15a + 5X)
Ratio = (15a + 5X): 900 =7: 6
15a + 5X = 1050......... (2)
From (1) and (2) –
3a = 120
a = 40
Additional amount invested by B = 5a = Rs.200
So, the correct option is (C): Rs 200.