A, B and C started a business by investing Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of Rs. 8,000 each and C invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year. C got Rs. 12,550 as his share of profit, what was the total profit earned ?

Amount invested by A,B and C = Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively.

Ratio of profits shared by A : B : C

= $$[(20,000 \times 6) + (12,000 \times 6)]$$ : $$[(28,000 \times 6) + (20,000 \times 6)]$$ : $$[(36,000 \times 6) + (44,000 \times 6)]$$

= $$32 : 48 : 80 = 2 : 3 : 5$$

Let total profit earned = $$Rs. x$$

Profit received by C = $$\frac{5}{(2 + 3 + 5)} \times x = 12550$$

=> $$\frac{x}{2} = 12550$$

=> $$x = 12550 \times 2 = Rs. 25,100$$