Question

C and D share profits and losses in the ratio of 2:1 with effect from 1st April, 2019, they agreed to share profits equally. calculate the sacrificing ratio and gaining ratio.​

Answer 1

Answer:

C's Sacrifice = $\bf{\dfrac{1}{6}}$

D's Gain = $\bf{\dfrac{1}{6}}$

Explanation:

Old Ratio :

C : D = 2 : 1

• C's Share = $\sf{\dfrac{2}{3}}$

• D's Share = $\sf{\dfrac{1}{3}}$

From 1st April, 2019 they agreed to share profits equally.

So,

New Ratio = 1 : 1

★ Sacrificing (Gaining) Ratio :

Sacrificing (Gaining) Ratio = Old Ratio - New Ratio

C's Share =

$\longrightarrow{\sf{\dfrac{2}{3} \: - \: \dfrac{1}{2}}}$

$\longrightarrow{\sf{\dfrac{4 \: - \: 3}{6} = \dfrac{1}{6} \:- - - (Sacrifice)}}$

D's share:

$\longrightarrow{\sf{\dfrac{1}{3} \: - \: \dfrac{1}{2}}}$

$\longrightarrow{\sf{\dfrac{2 \: - \: 3}{6} = \left(\dfrac{ - 1}{ \: \: 6}\right) \: - - - (Gain)}}$

Therefore,

C's Sacrifice = $\bf{\dfrac{1}{6}}$

D's Gain = $\bf{\dfrac{1}{6}}$