Rishi, Ratna and Ruchira are sharing profits and losses will be 1/2, 3/10 and 1/5.
If Rishi retires then their new ratio____
Share
Rishi, Ratna and Ruchira are sharing profits and losses will be 1/2, 3/10 and 1/5.
If Rishi retires then their new ratio____
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Let's denote the profits and losses sharing ratios for Rishi, Ratna, and Ruchira as \(R\), \(A\), and \(U\) respectively.
Initially, the ratio is given as \(R:A:U = \frac{1}{2} : \frac{3}{10} : \frac{1}{5}\).
When Rishi retires, his share is distributed among Ratna and Ruchira. So, their new ratios (\(R'\), \(A'\), \(U'\)) can be found by adding Rishi's share to Ratna's and Ruchira's existing shares.
\[R' : A' : U' = R + R : A + \text{(Rishi's share)} : U + \text{(Rishi's share)}\]
Now substitute the given values:
\[R' : A' : U' = \frac{1}{2} + \frac{1}{2} : \frac{3}{10} + \frac{3}{10} : \frac{1}{5} + \frac{1}{5}\]
Simplify each part:
\[R' : A' : U' = 1 : \frac{3}{5} : \frac{2}{5}\]
So, when Rishi retires, their new profit-sharing ratio is \(1 : \frac{3}{5} : \frac{2}{5}\).