Question

A and B are partners sharing profits and losses equally.with effect from 1st april 2021 they agree to share profits in the ratio 4:3. calculate partners gain or sacrificing due to change​

Answer 1

Answer:

Solution :

★ Old Ratio =

A : B = 1 : 1

• A's Share = $\dfrac{1}{2}$

• B's Share = $\dfrac{1}{2}$

They agree to share profits in the ratio 4:3.

★ New Ratio =

A : B = 4 : 3

• A's New Share = $\dfrac{4}{7}$

• B's New Share = $\dfrac{3}{7}$

★ Gaining OR Sacrificing Ratio :

• Gaining or Sacrificing Ratio = New Ratio - Old Ratio

• A's Share =

$\dfrac{4}{7} \: - \: \dfrac{1}{2} \: = \: \dfrac{(8\: - \: 7)}{14}$

$\dfrac{(1)}{ \: 14} \: - - - - \: (Gain)$

• B's Share =

$\dfrac{3}{7} \: - \: \dfrac{1}{2} \: = \: \dfrac{(6 \: - \: 7)}{14}$

$\dfrac{( - 1)}{ \: 14} \: - - - - \: (Sacrifice)$

Therefore,

• A's Gain = $\dfrac{1}{14}$

• B's Sacrifice = $\dfrac{1}{14}$

Answer 2

${\large{\underline{\underline{\pmb{\frak{Let's\;understand\;the\;concept:-}}}}}}$

☀️ As per the given information, we know that A and B are two partners who shared their profit and losses equally and with effect from 1st of April 2021 they agree to share profits in the ratio 4:3. In order to calculate the partner's gain or sacrificing due to the change we have to subtract the ratio of profits after change from the ratio of profits of both the individuals before the change.

${\large{\underline{\underline{\pmb{\frak{given:-}}}}}}$

• Ratio of shares before the effect = 1 : 1

• Ratio of share after the effect = 4 : 3

${\large{\underline{\underline{\pmb{\frak{To\;find:-}}}}}}$

• Partner's gain or sacrifice

${\large{\underline{\underline{\pmb{\frak{solution:-}}}}}}$

❍ Shares of both individuals before the effect :-

$\sf : \dashrightarrow A's \; \; share = \dfrac{2-1}{2} = \dfrac{1}{2}$

$\sf : \dashrightarrow B's \; \; share = \dfrac{2-1}{2} = \dfrac{1}{2}$

❍ Shares of both individuals after the effect :-

$\sf : \dashrightarrow A's \; \; share = \dfrac{7-3}{7} = \dfrac{4}{7}$

$\sf : \dashrightarrow B's \; \; share = \dfrac{7-4}{7} = \dfrac{3}{7}$

❍ Partner's gain or sacrifice :-

$\sf : \implies A's \; \; gain = \dfrac{4}{7} - \dfrac{1}{2}$

$\sf : \; \implies \dfrac{8-7}{14}$

$\sf : \; \implies \dfrac{1}{14}$

$\sf : \implies B's \; \; sacrifice = \dfrac{3}{7} - \dfrac{1}{2}$

$\sf : \; \implies \dfrac{6-7}{14}$

$\sf : \; \implies \dfrac{-1}{14}$

Henceforth,

• A gained 1/14 due to change

• B sacrificed -1/14 due to change