P and Q are partners sharing profits in the ratio of 9:7. R is admitted as partner with 9/20th share in the profits , which he takes 1/5th from P and 1/4th from Q. Sacrificing ratio will be
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Sacrificing Ratio of P, Q = 189:130.
Explanation:
Old Ratio of P, Q = 9:7
R's share = 9/20 share
- Calculation of Sacrificing Ratio:
Share sacrificed = Old Share X Proportion of share sacrificed.
P's sacrifice
= 9/16 - 1/5 of 9/20
= 189/400
Q's sacrifice
=7/16 - 1/4 of 9/20
= 26/80
Thus, Sacrificing Ratio of P and Q
= 189/400 : 26/80
= 189/400 : 130/400
= 189: 130
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Sacrificing ratio will be = 4:5
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