Question

P and Q are partners sharing profits in 2:1 ratio. They admitted R into partnership giving him 1/5 share which he acquired from P and 9 in 1:2 ratio. Calculate new profit sharing ratio?​

Answer 1

Answer:

They admitted R into partnership giving him 1/5 share which he acquired from P and Q in 1:2 ratio. Calculate new profit sharing ratio? (Ans : 3:11)

Answer 2

Explanation:

☘Answer:-

Given:-

• Profit ratio of P and Q is 2:1.
• Share percentage of R is $\frac{1}{5}$.

To find:-

• new profit sharing ratio.

Solution:-

P: Q’s Old ratio = 2:1 =  $\frac{2}{3}$: $\frac{1}{3}$

admits for $\frac{1}{5}$ share in the new firm which he takes from from  $\frac{1}{3}$P and $\frac{2}{3}$from Q.

P’s sacrifice = R’s share $\times \: \frac{1}{3} \: = \: \frac{1}{5} \: \times \: \frac{2}{3} \: = \: \frac{2}{15}$

New Ratio = Old Ratio – Sacrificing Ratio

$P \: = \: \frac{2}{3} \: - \: \frac{1}{15} \: \\ \: \: \: \: \: \: \: \: \: = \: \frac{10 \: - \: 5}{15} \\ = \: \frac{9}{15}$

$Q \: = \: \frac{1}{3} \: - \: \frac{2}{15 } \\ \: \: \: \: \: \: \: = \: \frac{5 \: - \: 2}{15} \\ = \frac{3}{15}$

$\: \: \:$

$New \: \: ratio \: = \: \frac{9}{15} \: : \frac{3}{15} :\: \frac{1}{5}$

$\:$

$= \: \frac{9:3:3}{15} \\ = \: 3:1:1$

✪Hence, the new profit ratio is 3:1:1