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प्रश्न
Mohan and Sohan are partners sharing profits and losses in the ratio of 9 : 6. They admit Gopal with 1/8 share in the profits. The new profit sharing ratio between Mohan and Sohan is agreed to be 4 : 3. Calculate the sacrificing ratio.
संख्यात्मक
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उत्तर
Old ratio of Mohan : Sohan = 9 : 6
Simplify:
9 : 6 = 3 : 2
So their old shares are:
Mohan = `3/5`
Sohan = `2/5`
Gopal gets `1/8` share.
The remaining share for Mohan and Sohan is:
`1 - 1/8 = 7/8`
Their new ratio is 4 : 3, so:
Mohan's new share = `4/7 xx 7/8 = 1/2`
Sohan's new share = `3/7 xx 7/8 = 3/8`
Sacrifice made
Mohan: `3/5 - 1/2 = (6 - 5)/10 = 1/10`
Sohan: `2/5 - 3/8 = (16 - 15)/40 = 1/40`
Therefore, sacrificing ratio:
`1/10 : 1/40 = 4 : 1`
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