Question

3.Raga and Tala are partners sharing profits and losses in the ratio of 7:3. They admit
shruti into the partnership. Raga surrenders ½ of his share and Tala 1/4th of his share in
favour of shruti. Calculate new profit sharing ratio of Raga, Tala and Shruti.

Answer 1

Answer:

New profit sharing ratio of Raga, Tala and Shruti = 14 : 9 : 17

Explanation:

Given :

Raga and Tala are partners sharing profits and losses in the ratio = 7 : 3

Raga surrenders ½ of his share

Tala 1/4th of his share in favour of shruti

Find :

New profit sharing ratio of Raga, Tala and Shruti

Solution :

Old Ratio (In Raga and Tala) = 7 : 3

★ Shruti's share :

⇒ $\frac{7}{10} \: \times \frac{1}{2} \: + \frac{3}{10} \: \times \: \frac{1}{4}$

⇒ $\frac{7}{20} \: + \: \frac{3}{40}$

⇒ $\frac{17}{40}$

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★ Raga's New Share :

⇒ $\frac{7}{10} \: - \: \frac{7}{20}$

⇒ $\frac{7}{20}$

⇒ $\frac{14}{40}$

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★ Tala's New Share :

⇒ $\frac{3}{10} \: - \: \frac{3}{40}$

⇒ $\frac{9}{40}$

__________________________

Therefore,

New profit sharing ratio of Raga, Tala and Shruti = 14:9:17