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प्रश्न
A and B are partners sharing profits in the ratio of 5 : 3. A surrenders `1/4`th of his share and B surrenders `1/5` of his share in favour of C, a new partner. What is the sacrificing ratio?
विकल्प
4 : 5
5 : 4
12 : 25
25 : 12
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उत्तर
25 : 12
Explanation:
A’s sacrificed share = `1/4 xx 5/8`
= `5/32`
B’s sacrificed share = `1/5 xx 3/8`
= `3/40`
The sacrificing ratio is the ratio of the amounts sacrificed by A and B. To express the ratio `5/32 : 3/40`, we find a common denominator of 160:
A’s sacrificed ratio = `(5 xx 5)/(32 xx 5)`
= `25/160`
B’s sacrificed ratio = `(3 xx 4)/(40 xx 4)`
= `12/160`
The sacrificing ratio of A and B = `25/160 : 12/160` or 25 : 12
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