Question

)
Rashi, Raksha and Rahul are partners sharing profits in the ratio of
4:3 : 2. Rashi retires. Raksha and Rahul decided to share profits in
future in the ratio of 5 : 3. Calculate the gaining ratio of Raksha and
Rahul.​

Answer 1

Answer:

Gaining Raio of Raksha and Rahul = 21 : 11

Explanation:

★ Old Ratio =

Rashi : Raksha : Rahul = 4 : 3 : 2

• Rashi's Old Ratio = $\dfrac{4}{9}$

• Raksha's Old Ratio = $\dfrac{3}{9}$

• Rahul's Old Ratio = $\dfrac{2}{9}$

Rashi retires,

Raksha and Rahul decided to share profits in future in the ratio of 5 : 3

• Raksha : Rahul = 5 : 3

★ Gain Ratio = New Ratio - Old Ratio

• Raksha's Gaining Ratio =

⇒ $\dfrac{5}{8} - \dfrac{3}{9}$

⇒ $\dfrac{21}{72}$

• Rahul's Gaining Ratio =

⇒ $\dfrac{3}{8} - \dfrac{2}{9}$

⇒ $\dfrac{11}{72}$

• $\dfrac{21}{72} : \dfrac{11}{72}$

Gaining Ratio =

• Raksha : Rahul
• 21 : 11

Therefore,

Gaining Raio of Raksha and Rahul =

21 : 11