In a partnership business, B’s capital was \(\frac{1}{3}\)rd  of A’s capital. If after 7 months, B withdraw \(\frac{1}{4}\)th of his capital and after 2  more months  A withdraw \(\frac{1}{3}\)rd of the capital, then their profit ratio at the end of one year will be:

132 : 43

Let investment of A = 12R

and investment of B = 4R

After withdrawal:

Investment of A = 8R

Investment of B = 3R

ATQ,  

           (A₁   :   A)   :    ( B   :   B₁)

Inv.       8   :   12    :       4   :   3

Time     3   :   9      :       7   :   5    

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Profit:  (24 + 108)   :     (28  +  15)

              132           :      43

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