Question

Jan, Man, & Dhan are Partners sharing Profits & Losses in 5: 3: 8 ratio. Dhan

retires from the firm. calculate new ratio of remining partners.​

Answer 1

ANSWER :

• ❖ If Jan, Man and Dhan are partners sharing Profits & Losses in 5 : 3 : 8 ratio and Dhan retires from the firm; then the new ratio between Jan and Man will be 5 : 3.

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SOLUTION :

✪ When nothing has been stated about the new profit sharing ratio of the remaining partners, then after retirement of Dhan from the firm, Jan and Man will share profits and losses in the same ratio as between themselves, i.e., 5 : 3.

• This new ratio of 5 : 3 can be calculated in the following manner :↴

❒ Given :-

• Jan, Man and Dhan are Partners sharing Profits & Losses in the ratio = 5 : 3 : 8

• Dhan retires from the firm

❒ To Calculate :-

• New ratio between Jan and Man = ?

❒ Calculation :-

Here,

• Jan, Man and Dhan are Partners sharing Profits & Losses in the ratio of 5 : 3 : 8.

Hence,

• Jan's old share = $\sf{\dfrac{5}{16}}$

• Man's old share = $\sf{\dfrac{3}{16}}$

• Dhan's old share = $\sf{\dfrac{8}{16}}$ = $\sf{\dfrac{1}{2}}$

When Dhan retires from the firm, his share of $\sf{\dfrac{1}{2}}$ will be acquired by Jan and Man in their old ratio.

• ∴ Jan's New Share = Old Share + Share acquired from Dhan

➜ Jan's New Share = $\sf{\dfrac{5}{16}}$ + $\sf{\dfrac{5}{8}}$ × $\sf{\dfrac{1}{2}}$

➜ Jan's New Share = $\sf{\dfrac{5}{16}}$ + $\sf{\dfrac{5}{16}}$

➜ Jan's New Share = $\sf{\dfrac{5 + 5}{16}}$

➜ Jan's New Share = $\sf{\dfrac{10}{16}}$

➜ Jan's New Share = $\sf{\dfrac{5}{8}}$

• ∴ Man's New Share = Old Share + Share acquired from Dhan

➜ Man's New Share = $\sf{\dfrac{3}{16}}$ + $\sf{\dfrac{3}{8}}$ × $\sf{\dfrac{1}{2}}$

➜ Man's New Share = $\sf{\dfrac{3}{16}}$ + $\sf{\dfrac{3}{16}}$

➜ Man's New Share = $\sf{\dfrac{3 + 3}{16}}$

➜ Man's New Share = $\sf{\dfrac{6}{16}}$

➜ Man's New Share = $\sf{\dfrac{3}{8}}$

• ∴ The new ratio between Jan and Man = $\sf{\dfrac{5}{8}}$ : $\sf{\dfrac{3}{8}}$

➨ The new ratio between Jan and Man = 5 : 3 ★