A, B and C enter into a partnership with a certain capital in which A's contribution is Tk.10,000. If out of a total profit of Tk. 1000, A gets Tk. 500, B gets Tk. 300 then C's capital is -

According to the problem,
Total profit is = 1000 TK,
A’s profit = 500 TK
B’s profit = 300 TK
∴ C’s profit is = (Total profit – (A + B)’ profit) = (1000 − 800) = 200

∴ Profit Ratio between A, B and C is
⇒ 500 : 300 : 200
⇒ 5 : 3 : 2
Let their capitals be 5x, 3x, and 2x respectively.

According to the problem,
A’s contribution is TK. 10000.
∴ 5x = 10000
⇒ x = 2000

∴ C’s share = 2x
= 2 × 2000
= 4000Tk