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Vinay and Ruchi are partners in the ratio of 3: 2 respectively Aruna is admitted into partnership for 1/6th share in the profits. Calculate the sacrificing ratio and new profit sharing ratio.?
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Vinay and Ruchi are partners in the ratio of 3: 2 respectively Aruna i...
Calculation of Sacrificing Ratio and New Profit Sharing Ratio

Step 1: Calculate the Sacrificing Ratio
- Vinay's share = 3/5
- Ruchi's share = 2/5
- Aruna's share = 1/6
- Sacrificing Ratio = Old Ratio - New Ratio
- Sacrificing Ratio = 3/5 - 1/6 : 2/5 - 1/6
- Sacrificing Ratio = 13/30 : 8/30
- Sacrificing Ratio = 5/30

Step 2: Calculate the New Profit Sharing Ratio
- Vinay's new share = 3/5 - (5/30) = 25/30
- Ruchi's new share = 2/5 - (5/30) = 15/30
- Aruna's new share = 1/6 + (1/6) = 2/6 = 10/30
- New Profit Sharing Ratio = 25/30 : 15/30 : 10/30
- New Profit Sharing Ratio = 5 : 3 : 2
Therefore, the sacrificing ratio is 5:30 and the new profit sharing ratio is 5:3:2. This means that Vinay's share has decreased by 1/6, Ruchi's share has decreased by 1/6, and Aruna's share has increased by 1/6 in the new partnership agreement.
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Vinay and Ruchi are partners in the ratio of 3: 2 respectively Aruna is admitted into partnership for 1/6th share in the profits. Calculate the sacrificing ratio and new profit sharing ratio.?
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