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प्रश्न
P and Q are partners sharing profits and losses in the ratio of 4 : 3. They admit R as a partner for a `1/7`th share in profits, which he acquires equally from P and Q. Calculate the new profit-sharing ratio of the partners.
संख्यात्मक
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उत्तर
Share of Profits given to R = `1/7`
Share acquired by R from P = `1/2 xx 1/7`
= `1/14`
Share acquired by R from Q = `1/2 xx 1/7`
= `1/14`
P’s new share after surrendering `1/14` in R’s favour = `4/7 - 1/14`
= `4/7 xx 2/2`
= `8/14`
= `8/14 - 1/14`
= `7/14`
Q’s new share after surrendering `1/14` in R’s favour = `3/7 - 1/14`
= `3/7 xx 2/2`
= `6/14`
= `6/14 - 1/14`
= `5/14`
R’s Share = `1/7 xx 2/2`
= `2/14`
Hence, the new profit-sharing ratio of P, Q and R = `7/14 : 5/14 : 2/14` or 7 : 5 : 2.
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