Question

[3]
11. Ram Rahim and Mohan were partners in a firm sharing profit and losses in the
ratio of 7:6:7. Rahim retired and his share was devided equally between Ram and
Mohan. Calculate the new profit sharing ratio of Ram and Mohan.
राम, रहीम और मोहन एक फर्म में साझेदार थे तथा 7:6:7 के अनुपात में लाभ-हानि का विभाजन कर रहे थे।
रहीमने फर्म से अवकाश ग्रहण कर लिया और उसके लाभ का भाग राम और मोहन ने बराबर बांट लिया। राम और
मोहन का नया लाभ विभाजन अनुपात ज्ञात कीजिए।
VOSS​

Answer 1

Answer:

New Profit Sharing Ratio =

Ram : Mohan = 1 : 1

Explanation:

★ Old Ratio ;

Ram : Rahim : Mohan = 7 : 6 : 7

• Ram's Share = $\sf{\dfrac{7}{20}}$

• Rahim's Share = $\sf{\dfrac{6}{20}}$

• Mohan's Share = $\sf{\dfrac{7}{20}}$

★ Rahim retired and his share was divided equally between Ram and Mohan :

• Rahim's Share = $\sf{\dfrac{6}{20}}$

Share of Rahim taken by Ram =

$\sf{\longrightarrow{\dfrac{6}{20} \: \times \: \dfrac{1}{2} \: = \: \dfrac{6}{40}}}$

Share of Rahim taken by Mohan =

$\sf{\longrightarrow{\dfrac{6}{20} \: \times \: \dfrac{1}{2} \: = \: \dfrac{6}{40}}}$

New Profit Share = Old Profit Share + Share taken from Rahim

Ram's New Share =

$\sf{\longrightarrow{\dfrac{7}{20} + \dfrac{6}{40}}}$

$\sf{\longrightarrow{\dfrac{20}{40} = \dfrac{1}{2}}}$

Mohan's New Share =

$\sf{\longrightarrow{\dfrac{7}{20} + \dfrac{6}{40}}}$

$\sf{\longrightarrow{\dfrac{20}{40} = \dfrac{1}{2}}}$

New profit share ratio =

• Ram : Mohan

• $\sf{\dfrac{1}{2} : \dfrac{1}{2}}$

Therefore,

New Profit Sharing Ratio =

Ram : Mohan = 1 : 1

Answer 2

Solution:-

⠀

• Let the ratio of their profit and loses be x.

⠀

$\tt\longmapsto{Ram's\: share = 7x}$

$\tt\longmapsto{Rahim's \: share = 6x}$

$\tt\longmapsto{Mohan's\: share = 7x}$

⠀

After the retirement of Rahim, his share was equally divided between Ram and Mohan.

⠀

• Share of Rahim that each of them gets

$\tt\longmapsto{6x \times \dfrac{1}{2} = 3x}$

⠀

After dividing the share of Rahim

⠀

$\tt\longmapsto{Ram's\: share = 7x + 3x = 10x}$

$\tt\longmapsto{Mohan's\: share = 7x + 3x = 10x}$

⠀

Finding the ratio

⠀

$\tt\longrightarrow{Required\: ratio = \dfrac{Ram's\: share}{Mohan's\: share}}$

⠀

$\tt\longrightarrow{Required\: ratio = \dfrac{10x}{10x}}$

⠀

$\tt\longrightarrow{Required\: ratio = \dfrac{1}{1}}$

⠀

$\tt\longrightarrow{Required\: ratio = 1:1}$

⠀

Hence,

• Required ratio of their shares 1:1