(a) Ram and Shyam are partners sharing profits and losses in the raito of $\frac{7}{12}:\frac{5}{12}.$ They admit Gopi as a new partner for 1/6 th share, which he acquires equally from Ram and Shyam. Calculate the new profit ratios of the partners.
(b)  A, B and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits , which he acquired 1/16th from B and 1/16th from C.
Calculate the new profit sharing ratio of A, B, C and D.