A, B and C were partners in a business who shared profits and losses in the ratio of $$\frac{1}{5}:\,\frac{1}{3}:\,\frac{7}{{15}}$$ respectively. C retired and his share was purchased by A and B in the ratio of 3 : 2. The new profit sharing ratio of A and B will be:
A. 13 : 12
B. 12 : 15
C. 12 : 13
D. 14 : 15
Answer: Option C

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