H & M are partners in a firm sharing profits and losses in the ration of $2 : 5$ . They admit K as a new partner who will get $1 / 6$ th share in the profits of the firm. Calculate new profit sharing ration among H, M & K.

10 : 25 : 7

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7 : 25 : 10

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25 : 10 : 7

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10 : 7 : 25

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Solution

The correct option is B $10 : 25 : 7$
Old ratio (H and M) = 2 : 5
K is admitted for 1/6th share of profit
Let the combined share of all partners after K's admission = 1
Combined share of H and M after K's admission = 1 - (1/6) = 5/6
New ratio = Old ratio * Combined share of H and M
H's new ratio = (2/7) * (5/6) = 10/42
M's new ratio = (5/7) * (5/6) = 25/42
K's share = 1/6 or 7/42
Therefore, new ratio of H : M : K is 10 : 25 : 7

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H & M are partners in a firm sharing profits and losses in the ration of 2:5. They admit K as a new partner who will get 1/6th share in the profits of the firm. Calculate new profit sharing ration among H, M & K.

H & M are partners in a firm sharing profits and losses in the ration of $2 : 5$ . They admit K as a new partner who will get $1 / 6$ th share in the profits of the firm. Calculate new profit sharing ration among H, M & K.