Question

Keyur and kahaan are partners sharing profits and losses in the ratio of 3:2
after admission of prihaan , the new natio of keyur, Kahaan and prihaan is 4:3:2.
Find out sacrifice ratio ​

Answer 1

Answer:

Sacrifice Ratio = 7 : 3

Explanation:

Old Ratio =

Keyur : Kahaan = 3 : 2

• Keyur = $\dfrac{3}{5}$

• Kahaan = $\dfrac{2}{5}$

★ After admission of Prihaan,

The new natio of keyur, Kahaan and Prihaan = 4 : 3 : 2

$\boxed{\sf{Keyur : Kahaan : Prihaan =\dfrac{4}{9} : \dfrac{3}{9} : \dfrac{2}{9}}}$

★ Sacrifice Ratio = Old Ratio - New Ratio

Keyur Sacrifice in favour of Prihaan =

$\longrightarrow{\sf{\dfrac{3}{5} - \dfrac{4}{9}}}$

$\sf{\longrightarrow{\dfrac{7}{45}}}$

Kahaan Sacrifice in favour of Prihaan =

$\sf{\longrightarrow{\dfrac{2}{5} - \dfrac{3}{9}}}$

$\sf{\longrightarrow{\dfrac{3}{45}}}$

★ Sacrifice Ratio =

• Keyur : Kahaan = 7 : 3

∴ Sacrifice Ratio = 7 : 3

Answer 2

Given :

Old Ratio of Keyur & Kahaan = 3 : 2

New Ratio Of Keyur & Kahaan = 4 : 3 : 2

To Find :

Sacrificing Ratio of Partners

Formula To Find :

$\rm \: Sacrificing \: Ratio \: = Old \: \: Share - New \: Share$

Solution :

Sacrificing Share Of Keyur :

$\sf \to \: Old \: share \: of \: Keyur \: = \cfrac{3}{5}$

$\sf\to \: New \: Share \: of \: Keyur \: = \cfrac{4}{9}$

$\sf \to \: \cfrac{3}{5} - \cfrac{4}{9}$

$\sf\to \: \frac{3 \times 9 + 5 \times 4}{5 \times 9}$

$\sf\to \: \frac{27 - 20}{45}$

$\sf\to \: \frac{7}{45}$

Sacrificing Share Of Kahaan :

$\sf\to \: Old \: Share \: of \: Kahaan = \frac{2}{5}$

$\sf\to \: New \: Share \: of \: Kahaan \: = \frac{3}{9}$

$\sf\to \: \frac{2}{5} - \frac{3}{9}$

$\sf\to \: \frac{2 \times 9 - 5 \times 3}{5 \times 9}$

$\sf\to \: \frac{18 - 15}{45}$

$\sf\to \: \frac{3}{45}$

$\bullet \sf \: \frac{7}{45} : \frac{3}{45}$

$\bullet\sf \: \: 7: 3$

$\therefore \sf \: Sacrificing \: Ratio \: of \: partners \: = 7 : 3$