Question : A and B were partners in a firm sharing profits and losses in the ratio of equally . With effect from 1st January 2019 they agreed to share profits and losses 2:1 Individual partner’s gain or sacrifice due to change in the ratio will be :
Option 1: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Option 2: Gain by $A \frac{1}{2}$; Sacrifice by $B \frac{1}{2}$
Option 3: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Option 4: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Correct Answer: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Solution : Answer = Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Sacrificing Ratio = old ratio - new ratio
A = 1/2 - 2/3 = 3-4/6 = -1/6 (gain)
B = 1/2 - 1/3 = 3-2/6 = 1/6 (sacrifice) Hence, the correct option is 1.
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