Question : Jayant, Kartik and Leena were partners in a firm sharing profits and losses in the ratio of 5: 2: 3. Kartik died and Jayant and Leena decided to continue the business. Their gaining ratio was 2: 3. The new profit-sharing ratio of Jayant and Leena are
Option 1: 5:3
Option 2: 2:3
Option 3: 29:21
Option 4: None of the above.
Correct Answer: 29:21
Solution :
Answer =
29:21
Jayant gain= $\frac{2}{10} \times \frac{2}{5}$= $\frac{4}{50}$.
Leena gain=$\frac{2}{10} \times \frac{3}{5}$=$\frac{6}{50}$.
O.R+G.R
Jayant= $\frac{5}{10}+\frac{4}{50}$= $\frac{25+4}{50}$= $\frac{29}{50}$.
Leena= $\frac{3}{10}+\frac{6}{50}$= $\frac{15+6}{50}$= $\frac{21}{50}$.
New profit sharing ratio= 29:21.
Hence, the correct option is 3.
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