In a partnership business, B’s capital was half of A’s capital. If after 8 months, B withdraw half of his capital and after 2  more months  A withdraw \(\frac{1}{4}\)th of the capital, then their profit ratio at the end of one year will be:

21 : 10

Let investment of A = 4R

and investment of B = 2R

After withdrawal:

Investment of A = 1R

Investment of B = 1R

ATQ,  

           (A₁  :   A)    :     ( B   :   B₁)

Inv.       1   :   4      :       2   :   1

Time     2   :   10     :       8   :   4    

Profit:  (2   + 40)     :     (16  +  4)

                42          :         20

                21          :         10