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R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\frac{1}{4}^{{\text{th}}}}$$ of his share and S given $${\frac{2}{5}^{{\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be

A. 15 : 01 : 26

B. 75 : 36 : 49

C. 25 : 15 : 26

D. 20 : 9 : 11

Answer: Option B


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Comments ( 1 )

  1. Muhammad Arslan
    Muhammad Arslan :
    6 months ago

    Here's how to find the new profit sharing ratio of R, S, and T:

    1. Initial Profit Sharing Ratio:

    R:S = 5:3
    2. Share Given to New Partner:

    R gives 1/4 of his share: 5 * (1/4) = 5/4
    S gives 2/5 of his share: 3 * (2/5) = 6/5
    3. Updated Share for Existing Partners:

    R's updated share: 5 - 5/4 = 15/4
    S's updated share: 3 - 6/5 = 9/5
    4. Total Share After T Joins:

    Combined share given to T: 5/4 + 6/5 = 49/20
    Total share after T joins: (15/4) + (9/5) + (49/20) = 160/20
    5. New Profit Sharing Ratio:

    R's new ratio: (15/4) / (160/20) = 15/32
    S's new ratio: (9/5) / (160/20) = 9/40
    T's new ratio: (49/20) / (160/20) = 49/160
    Therefore, the new profit sharing ratio for R, S, and T is 75:36:49.

    I hope this explanation is clear and helpful! Let me know if you have any further questions.


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