Question

naresh and mahesh are partners sharing in the ratio of 21:9.They admit Suresh as a partner for 3/7th share of profits .calculate new profit sharing ratio.​

Answer 1

ANSWER :

• ❖ If nlNaresh and Mahesh are partners sharing in the ratio of 21 : 9 and they admit Suresh as a partner for $\sf{\dfrac{3}{7}}$ th share of profits; then the New profit sharing ratio among Naresh, Mahesh and Suresh will be 14 : 6 : 15.

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SOLUTION :

❒ Given :-

• Naresh and Mahesh are partners sharing profit and and losses in the ratio 21 : 9.

• They admit Suresh into partnership giving him $\sf{\dfrac{3}{7}}$ th 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 $\sf{\dfrac{3}{7}}$ th share of profit.

Hence,

• ✎ Share of Suresh = $\sf{\dfrac{3}{7}}$ of 1

➜ Share of Suresh = $\sf{\dfrac{3}{7}}$ × 1

➜ Share of Suresh = $\sf{\dfrac{3}{7}}$

Now,

• ✎ Remaining Share = 1 - $\sf{\dfrac{3}{7}}$

➜ Remaining Share = $\sf{\dfrac{7 - 3}{7}}$

➜ Remaining Share = $\sf{\dfrac{4}{7}}$

This remaining share, i.e., $\sf{\dfrac{4}{7}}$ will be shared by Naresh and Mahesh in their ratio, i.e., 21 : 9.

So,

• ★ New Share of Naresh = $\sf{\dfrac{21}{30}}$ of $\sf{\dfrac{4}{7}}$

⇒ New Share of Naresh = $\sf{\dfrac{21}{30}}$ × $\sf{\dfrac{4}{7}}$

⇒ New Share of Naresh = $\sf{\dfrac{7}{10}}$ × $\sf{\dfrac{4}{7}}$

⇒ New Share of Naresh = $\sf{\dfrac{28}{70}}$

And,

• ★ New Share of Mahesh = $\sf{\dfrac{9}{30}}$ of $\sf{\dfrac{4}{7}}$

⇒ New Share of Mahesh = $\sf{\dfrac{9}{30}}$ × $\sf{\dfrac{4}{7}}$

⇒ New Share of Mahesh = $\sf{\dfrac{3}{10}}$ × $\sf{\dfrac{4}{7}}$

⇒ New Share of Mahesh = $\sf{\dfrac{12}{70}}$

Also,

• ★ Share of Suresh = $\sf{\dfrac{3}{7}}$

⇒ Share of Suresh = $\sf{\dfrac{3 \times 10}{7 \times 10}}$

⇒ Share of Suresh = $\sf{\dfrac{30}{70}}$

Thus,

• ✪ New Profit Sharing Ratio among Naresh, Mahesh and Suresh = $\sf{\dfrac{28}{7}}$ : $\sf{\dfrac{12}{70}}$ : $\sf{\dfrac{30}{70}}$

➨ New Profit Sharing Ratio among Naresh, Mahesh and Suresh = 28 : 12 : 30

➨ New Profit Sharing Ratio among Naresh, Mahesh and Suresh = 14 : 6 : 15