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Calculating Gaining Ratio

R and S are p...

Question

R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R gives 1/4th of his share and S gives 1/5th of his share to the new partner. Find out new profit-sharing ratio.

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Solution

Sacrificing Ratio = Old Ratio × Surrender Ratio

New Ratio = Old Ratio − Sacrificing Ratio

∴New Profit Sharing Ratio = 75 : 48 : 37

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Similar questions

R

S

are partners sharing profits in the ratio of

5 : 3

T

joins the firm as a new partner.

R

1 / 4^{t h}

of his share and

S

1 / 5^{t h}

of his share to the new partner.
Find out new profit-sharing ratio.

Q. Find New Profit-sharing Ratio:
(i) R and T are partners in a firm sharing profits in the ratio of 3 : 2. S joins the firm. R surrenders 1/4th of his share and T 1/5th of his share in favour of S.
(ii) A and B are partners. They admit C for 1/4th share. In future, the ratio between A and B would be 2 : 1.
(iii) A and B are partners sharing profits and losses in the ratio of 3 : 2. They admit C for 1/5th share in the profit. C acquires 1/5th of his share from A and 4/5th share from B.
(iv) X, Y and Z are partners in the ratio of 3 : 2 : 1. W joins the firm as a new partner for 1/6th share in profits. Z would retain his original share.
(v) A and B are equal partners. They admit C and D as partners with 1/5th and 1/6th share respectively.
(vi) A and B are partners sharing profits/losses in the ratio of 3 : 2 . C is admitted for 1/4th share. A and B decide to share equally in future.

P

Q

are partners sharing profits in the ratio of

3 : 2

R

, a new partner who acquired

1 / 5^{t h}

of his share from

P

4 / 25^{t h}

Q

. Calculate New Profit Sharing Ratio and Sacrificing Ratio.

Q. A and B are two partners sharing profits in the ratio of

3 : 2

. They admit C into partnership as a partner. A gives 1/3rd of his share while B gives

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Q. N and S are partners in a firm sharing profits in the ratio of 4 : 1. They admit M as a partner for 1/

4^{th}

share in the profits. M acquires his share from N and S in the ratio of 3 : 2. The new profit-sharing ratio will be:

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