In a partnership business, B’s capital was half of A’s capital. If after 8 months, B withdraw \(\frac{1}{3}\)rd of his capital and after 2  more months  A withdraw \(\frac{1}{2}\)th of the capital, then their profit ratio at the end of one year will be:

33 : 16 

Let investment of A = 6R

and investment of B = 3R

After withdrawal:

Investment of A = 3R

Investment of B = 2R

ATQ,  

           (A₁   :   A)    :    ( B   :   B₁)

Inv.       3   :   6       :       3   :   2

Time     2   :   10      :       8   :   4    

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Profit:  (6   +  60)     :     (24  +  8)

                66           :         32

                33           :         16

(*Profit ratio = Inv. ratio × time ratio)