Question : A, B and C were partners in a firm sharing profits in a 3: 3: 2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A, 1 / 7 from B and 1 / 7 from C. The new profit sharing ratio will be
Option 1: 5:13:6:32
Option 2: 5:13:6:4
Option 3: 3: 3: 2: 4
Option 4: None of the above
Correct Answer: 5:13:6:32
Solution : Answer = 5:13:6:32 A's share $=\frac{3}{8}-\frac{2}{7}=\frac{21-16}{56}=\frac{5}{56}$ B's share $=\frac{3}{8}-\frac{1}{7}=\frac{21-8}{56}=\frac{13}{56}$ C's share $=\frac{2}{8}-\frac{1}{7}=\frac{14-8}{56}=\frac{6}{56}$ D s share $=\frac{4}{7}$ Thus, the new profit-sharing ratio for A, B, C and D will be : $\frac{5}{56}: \frac{13}{56}: \frac{6}{56}: \frac{4}{7} \text { or } \frac{5: 13: 6: 32}{56} \text { or } 5: 13: 6: 32$ Hence, the correct option is 1.
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