P and Q were partners in a firm sharing profits in the ratio of 5: 3. R was admitted for 1/4th share in the profits, of which he took 75% from P and the remaining from Q. Calculate the sacrificing ratio of P and Q.
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Answered by
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Sacrificing Ratio of P, Q = 7:5.
New Ratio of P, Q, R = 3:1:4.
Explanation:
Old Ratio of P, Q = 5:3
R's share = 1/4 share
- Calculation of Sacrificing Ratio:
Share sacrificed = Old Share X Proportion of share sacrificed.
P's sacrifice
=5/8 - 75% of 1/4
= 7/16
Q's sacrifice
=3/8 - 25% of 1/4
= 5/16
Thus, Sacrificing Ratio of P and Q = 7:5
- Calculation of New Ratio of P, Q and R
New share = Old share - Share sacrificed
P's new share
=5/8 - 7/16
= 3/16
Q's new share
=3/8 - 5/16
= 1/16
R's new share
=1/4 X 4/4
= 4/16
Thus, New Ratio of P, Q and R = 3:1:4
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