Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4 : 3 : 2 . Nirmal retires a

Question

Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4 : 3 : 2 . Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5 : 3 . Gaining Ratio of Keshav and Pankaj is:

Accepted Answer

Old Ratio among Keshav, Nirmal, and Pankaj:

Keshav = \frac{4}{9}, Nirmal = \frac{3}{9}, Pankaj = \frac{2}{9}

New Ratio between Keshav and Pankaj after Nirmal retires:

Keshav = \frac{5}{8}, Pankaj = \frac{3}{8}

The formula for Gaining Ratio is:

Gaining Ratio = New Ratio - Old Ratio

For Keshav:

Gain = \frac{5}{8} - \frac{4}{9} = \frac{45 - 32}{72} = \frac{13}{72}

For Pankaj:

Gain = \frac{3}{8} - \frac{2}{9} = \frac{27 - 16}{72} = \frac{11}{72}

Comparing their shares of gain gives:

Gaining Ratio = \frac{13}{72} : \frac{11}{72} = 13 : 11 ⟹ \frac{13}{24} : \frac{11}{24}

Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of $4 : 3 : 2$ . Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of $5 : 3$ . Gaining Ratio of Keshav and Pankaj is:

Solution & Step-by-step Explanation

Practice this question

Share This Question

Related Questions

Ready for a Full Test?

Discussion

Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4:3:2. Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5:3. Gaining Ratio of Keshav and Pankaj is: