Question

21. Ankit,Suchit and Chandru are partners in a firm sharing profits and losses in the ratio of 4:3:2.Ankit

retires from the firm.Suchit and Chandru agreed to share in the ratio of 5:3 in future. Calculate gain ratio

of Suchit and Chandru.​

Answer 1

Answer:

Gain Ratio of Suchit and Chandru = 21 : 11

Explanation:

Solution :

★ Old Ratio :

Ankit : Suchit : Chandru = 4 : 3 : 2

• Ankit's Share = $\dfrac{4}{9}$

• Suchit's Share = $\dfrac{3}{9}$

• Chandru's Share = $\dfrac{2}{9}$

• Ankit retires from the firm

• Suchit and Chandru agreed to share in the ratio of 5 : 3 in future

★ New Ratio =

Suchit : Chandru = 5 : 3

Suchit = $\dfrac{5}{8}$

Chandru = $\dfrac{3}{8}$

★ Gain Ratio :

Gain Ratio = New Ratio - Old Ratio

• Suchit =

$\longrightarrow \: \dfrac{5}{8} \: - \: \dfrac{3}{9} \: = \: \dfrac{(45 \: - \: 24)}{72}$

$\longrightarrow \: \dfrac{21}{72}$

• Chandru =

$\longrightarrow \: \dfrac{3}{8} \: - \: \dfrac{2}{9} \: = \: \dfrac{(27 \: - \: 16)}{72}$

$\longrightarrow \: \dfrac{11}{72}$

Gain Ratio =

Suchit : Chandru =

$\longrightarrow \: \dfrac{21}{72} : \dfrac{11}{72}$

$\longrightarrow$ 21 : 11

Therefore, Gain Ratio =

Suchit : Chandru = 21 : 11