A & B are partners sharing profits in the ratio $5 : 3$ , they admitted C giving him $3 / 10$ th share of profit. If C acquires $1 / 5$ from A and $1 / 10$ th from B, new profit sharing ratio will be _________.

5 : 6 : 3

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2 : 4 : 6

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18 : 24 : 38

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17 : 11 : 12

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Solution

The correct option is D $17 : 11 : 12$
Old ratio (A and B) = 5 : 3
C is admitted for 3/10th share of profit
A's sacrifice in favour of C = 1/5
B's sacrifice in favour of C = 1/10
New ratio = Old ratio - Sacrifcing ratio
A's new ratio = (5/8) - (1/5) = 17/40
B's new ratio = (3/8) - (1/10) = 11/40
C's share = 3/10 or 12/40
Therefore, new profit sharing ratio of A : B : C is 17 : 11 : 12

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A & B are partners sharing profits in the ratio 5:3, they admitted C giving him 3/10th share of profit. If C acquires 1/5 from A and 1/10th from B, new profit sharing ratio will be _________.

A & B are partners sharing profits in the ratio $5 : 3$ , they admitted C giving him $3 / 10$ th share of profit. If C acquires $1 / 5$ from A and $1 / 10$ th from B, new profit sharing ratio will be _________.