A, B and C started a business each investing Tk.10000. After 4 month A withdraws Tk.3000, B withdraws Tk.4000, C invest Tk.3000 more At the end of the years, a total profit was Tk.32800. Find the share of C.

Question: A, B and C started a business each investing Tk. 10000. After 4 month A withdraws Tk. 3000, B withdraws Tk.4000, C invest Tk. 3000 more At the end of the years, a total profit was Tk. 32800. Find the share of C.

Solution:
Ratio of capital of A, B and C.
= (10000 × 4 + 7000 × 8) : (10000 × 4 + 6000 × 8) : (10000 × 4 + 13000 × 8)
= 96000 : 88000 : 144000
= 12 : 11: 18

Distributing the final profit of Tk. 32800 in the given ratio, the share of C becomes = (32800 × 18)/41 = 14400.