Question

Raaz Ram and Ramesh are partners sharing profit and losses in the ratio 5 :3 :2 the admit Suresh into partnership a give him one fifth share of profit find the new profit sharing ratio​

Answer 1

ANSWER :

• ❖ If Raaz, Ram and Ramesh are partners sharing profit and and losses in the ratio 5 : 3 : 2 and they admit Suresh into partnership giving him one fifth share of profit; then the new profit sharing ratio will be 10 : 6 : 4 : 5.

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SOLUTION :

❒ Given :-

• Raaz, Ram and Ramesh are partners sharing profit and and losses in the ratio 5 : 3 : 2.

• They admit Suresh into partnership giving him one fifth share of profit.

❒ To Calculate :-

• New Profit Sharing Ratio of the partners = ?

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❒ Calculation :-

Let us suppose,

• Total Profit of the firm = 1

Given that,

• Suresh is admitted into partnership giving him one fifth share of profit.

Hence,

• ✎ Share of Suresh = $\sf{\dfrac{1}{5}}$ of 1

➜ Share of Suresh = $\sf{\dfrac{1}{5}}$ × 1

➜ Share of Suresh = $\sf{\dfrac{1}{5}}$

Now,

• ✎ Remaining Share = 1 - $\sf{\dfrac{1}{5}}$

➜ Remaining Share = $\sf{\dfrac{5 - 1}{5}}$

➜ Remaining Share = $\sf{\dfrac{4}{5}}$

This remaining share, i.e., $\sf{\frac{4}{5}}$ will be shared by Raaz, Ram and Ramesh in their ratio, i.e., 5 : 3 : 2.

So,

• ★ New Share of Raaz = $\sf{\dfrac{5}{10}}$ of $\sf{\dfrac{4}{5}}$

⇒ New Share of Raaz = $\sf{\dfrac{5}{10}}$ × $\sf{\dfrac{4}{5}}$

⇒ New Share of Raaz = $\sf{\dfrac{20}{50}}$

• ★ New Share of Ram = $\sf{\dfrac{3}{10}}$ of $\sf{\dfrac{4}{5}}$

⇒ New Share of Ram = $\sf{\dfrac{3}{10}}$ × $\sf{\dfrac{4}{5}}$

⇒ New Share of Ram = $\sf{\dfrac{12}{50}}$

• ★ New Share of Ramesh = $\sf{\dfrac{2}{10}}$ of $\sf{\dfrac{4}{5}}$

⇒ New Share of Ramesh = $\sf{\dfrac{2}{10}}$ × $\sf{\dfrac{4}{5}}$

⇒ New Share of Ramesh = $\sf{\dfrac{8}{50}}$

And,

• ★ Share of Suresh = $\sf{\dfrac{1}{5}}$

⇒ Share of Suresh = $\sf{\dfrac{1 \times 10}{5 \times 10}}$

⇒ Share of Suresh = $\sf{\dfrac{10}{50}}$

Thus,

• ✪ New Profit Sharing Ratio among Raaz, Ram, Ramesh and Suresh = $\sf{\dfrac{20}{50}}$ : $\sf{\dfrac{12}{50}}$ : $\sf{\dfrac{8}{50}}$ : $\sf{\dfrac{10}{50}}$

➨ New Profit Sharing Ratio among Raaz, Ram, Ramesh and Suresh = 20 : 12 : 8 : 10

➨ New Profit Sharing Ratio among Raaz, Ram, Ramesh and Suresh = 10 : 6 : 4 : 5

Answer 2

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