Question

asha and ashi are partner sharing profit in the ratio 5:3. nishi the new partner gets 1/5 of asha share and 1/3 of ashi share. calculate new ratio and sacrificing ration

Answer 1

Answer:

Asha sacrifice in favour of Nishi =5/8×1/5=1/8

Ashi sacrifice in favour of Nishi = 3/8×1/3=1/8

sacrifice ratio = 1/8:1/8=1:1

Nishi share= 1/8+1/8=2/8

Asha new share = 5/8-1/8=4/8

Ashi new share = 3/8-1/8=2/8

new ratio

4/8:2/8:2/8=4:2:2 =2:1:1

Answer 2

Answer:

Sacrifice Ratio = 1 : 1

New Ratio = 4 : 2 : 2

Explanation:

Old Ratio =

Asha : Ashi = 5 : 3

• Asha = $\dfrac{5}{8}$

• Ashi = $\dfrac{3}{8}$

Nishi the new partner gets 1 / 5 of Asha share and 1 / 3 of Ashi share :

• Asha Sacrifice for Nishi =

⇒ $\dfrac{5}{8} \times \dfrac{1}{5} = \dfrac{5}{40} = \dfrac{1}{8}$

• Ashi Sacrifice for Nishi =

⇒ $\dfrac{3}{8} \times \dfrac{1}{3} = \dfrac{3}{24} = \dfrac{1}{8}$

★ Sacrifice Ratio =

⇒ $\dfrac{1}{8} : \dfrac{1}{8}$

⇒ 1 : 1

★ New Ratio :

Asha's new share = $\dfrac{5}{8} - \dfrac{1}{8}$

⇒ $\dfrac{4}{8}$

Ashi's new share = $\dfrac{3}{8} - \dfrac{1}{8}$

⇒ $\dfrac{2}{8}$

Nishi's share = $\dfrac{1}{8} + \dfrac{1}{8}$

⇒ $\dfrac{2}{8}$

New Ratio =

⇒ $\dfrac{4}{8} : \dfrac{2}{8} : \dfrac{2}{8}$

⇒ 4 : 2 : 2

Therefore,

• Sacrifice Ratio = 1 : 1
• New Ratio = 4 : 2 : 2