R and S are partners in a firm sharing profits in the ratio of 5:3. They admitted B as a new partner for 1/7th share in the profit. The new profit sharing ratio will be 4:2:1. The sacrificing ratio of R and S is:
R and S are partners in a firm sharing profits in the ratio of 5:3. They admitted B as a new partner for 1/7th share in the profit. The new profit sharing ratio will be 4:2:1. The sacrificing ratio of R and S is:
Solution
✅ Correct Option: 3
Solution
Understanding Sacrificing Ratio:
Sacrificing Ratio = Old Share - New Share
This represents how much each existing partner gives up for the new partner.
Step 1: Calculate Old Shares
Old ratio of R and S = 5:3
- R's old share =
- S's old share =
Step 2: Calculate New Shares
New ratio of R:S:B = 4:2:1
Total parts = 4 + 2 + 1 = 7
- R's new share =
- S's new share =
Step 3: Calculate Individual Sacrifices
R's Sacrifice:
= Old share - New share
=
= =
S's Sacrifice:
= Old share - New share
=
= =
Step 4: Find Sacrificing Ratio
Sacrificing Ratio = R's sacrifice : S's sacrifice
=
= 3 : 5
Answer: Option 3 (3:5)
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