A and B start a business with Rs. 30,000 and 20,000 respectively. After 4 months C joins them with the capital of Rs. 10,000 and after next 4 months A takes away half of his capital. Find their profit sharing ration at the end of the year.

15 : 12 : 04

                          A      :      B      :      C        

Capital             30000  :   20000  :   10000

Capital Ratio       30     :    20      :    10

ATQ,

⇒ C invest for 8 months, 

⇒ A invest full capital for 8 months and half capital for 4 months.

Now,

Profit ratio = Capital ratio × time

Therefore,

                              A                   :       B        :      C

Profit Ratio⇒  (30 x 8) + (15 x 4)  :  (20 x 12)  :  (10 x 8)

                            300                 :      240      :      80   

                             15                  :       12       :     4