A and B are partners sharing profits in the ratio of $3 : 2$ . They admit C who takes $2 / 7$ th from A and $1 / 7$ th from B. The new profit sharing ratio will be _______.

15 : 9 : 11

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15 : 11 : 9

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11 : 9 : 15

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9 : 11 : 15

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Solution

The correct option is B $11 : 9 : 15$
Old ratio (A and B) = 3 : 2
C is admitted for 3/7 th share
A's sacrifice in favour of C = 2/7
B's sacrifice in favour of C = 1/7
New ratio = Old ratio - Sacrificing ratio
A's new ratio = (3/5) - (2/7) = 11/35
B's new share = (2/5) - (1/7) = 9/35
C's share = A's sacrifice + B's sacrifice
= (2/7) + (1/7)
= 3/7 or 15/35
Therefore, new profit sharing ratio of A, B and C is 11 : 9 : 15

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A and B are partners sharing profits in the ratio of 3:2. They admit C who takes 2/7th from A and 1/7th from B. The new profit sharing ratio will be _______.

A and B are partners sharing profits in the ratio of $3 : 2$ . They admit C who takes $2 / 7$ th from A and $1 / 7$ th from B. The new profit sharing ratio will be _______.