Question

Jayant,kartik,leena were partners in a firm sharing profits and losses in the ratio of 5:2:3. kartik died jayant and leena decided to continue the business. Their gaining ratio was 2:3.
Calculate the new profit sharing ratioof jayant and leena.

Answer 1

Answer:

New Profit Sharing Ratio = 29 : 21

Explanation:

Solution :

Old Ratio = Jayant : Kartik : Leena = 5 : 2 : 3

• Jayant's Share = $\dfrac{5}{10}$

• Kartik's Share = $\dfrac{2}{10}$

• Leena's Share = $\dfrac{3}{10}$

Kartik died Jayant and Leena decided to continue the business.

★ Their Gaining Ratio = 2 : 3

Jayant's Gain =

$\longrightarrow \: \dfrac{2}{10} \times \dfrac{2}{5} = \dfrac{4}{50}$

Leena's Gain =

$\longrightarrow \: \dfrac{2}{10} \times \dfrac{3}{5} = \dfrac{6}{50}$

★ New Profit Sharing Ratio: New Share = Old Ratio + Gain

New Share (Jayant) =

$\longrightarrow \: \dfrac{5}{10} + \dfrac{4}{50} = \dfrac{(25 \: + \: 4)}{50}$

$\longrightarrow \: \dfrac{29}{50}$

New Share (Leena) =

$\longrightarrow \: \dfrac{3}{10} + \dfrac{6}{50} = \dfrac{(15 \: + \: 6)}{50}$

$\longrightarrow \: \dfrac{21}{50}$

New Profit Sharing Ratio :

• Jayant : Leena

• $\dfrac{29}{50} : \dfrac{21}{50}$

Therefore,New Profit Sharing Ratio -

• Jayant : Leena
• 29 : 21

Answer 2

To Find:-

• Find the new profit sharing ratio of Jayant and Leena.

Given:-

• Jayant , Kartik , Leena were partners in a firm sharing profits and losses in the ratio of 5 : 2 : 3 . kartik died jayant and leena decided to continue the business. Their gaining ratio was 2 : 3 .

Solution:-

Ratio before Kartik die : -

Jayant : Kartik : Leena = 5 : 3 : 2

Here ,

• Jayant = $\tt \: \dfrac { 5 } { 10 }$

• Kartik = $\tt \: \dfrac { 2 } { 10 }$

• Leena = $\tt \: \dfrac { 3 } { 10 }$

After Kartik died the remaining continued the business and gain a profit of ratio 2 : 3

Now ,

Jayant gains = $\tt \: \dfrac { 2 } { 10 } \times \dfrac { 2 } { 5 } = \dfrac { 4 } { 50 }$

Leena gains = $\tt \: \dfrac { 2 } { 10 } \times \dfrac { 3 } { 5 } = \dfrac { 6 } { 50 }$

Then ,

The total gain of Jayant : -

$\tt \: \dfrac { 5 } { 10 } + \dfrac { 4 } { 50 } = \dfrac { 29 } { 50 }$

Total gain of Leena : -

$\tt \: \dfrac { 3 } { 10 } + \dfrac { 6 } { 50 } = \dfrac { 21 } { 50 }$

Hence ,

• Ratio is 29 : 21