A. B and C together start a business. B invests of 1/6 of the total capital while investments of A and C are equal. If the annual profit on this investment is ₹ 33600, find the difference between the profits of B and C.

Given, Investment of B = 1/6 of total capital
∴ Investments of A and C each = 1/2(1 - 1/6) of total capital
= (1/2) x (5/6) of total capital
= (5/12) of total capital
Now. A's share : B's share : C's share = (5/12) : (1/6) : (5/12) = 5 : 2 : 5
Let A's share = 5N
B's share = 2N
C's share = 5N
According to the question.
5N + 2N + 5N = 33600
∴ 12N = 33600
∴ N = 33600/12 = 2800
∴ Difference in the profits of B and C
= 5N - 2N = 3N = 3 x 2800 = ∴ 8400