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प्रश्न
A and B are partners sharing profits in the ratio of 5 : 3. They admit C on a `1/4`th share, which he acquires `1/6`th from A and `1/12`th from B. Calculate the new profit-sharing ratio of the partners.
संख्यात्मक
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उत्तर
A’s old share is `5/8` out of which he surrenders `1/6`th in favour of C.
A’s new share = `5/8 - 1/6`
= `(5 xx 3)/(8 xx 3) - (1 xx 4)/(6 xx 4)`
= `15/24 - 4/24`
= `11/24`
B’s new share = `3/8 - 1/12`
= `(3 xx 3)/(8 xx 3) - (1 xx 2)/(12 xx 2)`
= `9/24 - 2/24`
= `7/24`
C’s new share = `1/4`
= `(1 xx 6)/(4 xx 6)`
= `6/24`
New ratio of A, B and C = `11/24 : 7/24 : 6/24` or 11 : 7 : 6
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