Question

2. X,Y and Z are partners sharing profits in the ratio of 4:3:2. Y retires and X and Z decide to share future profits in the ratio of 5:3. Gaining ratio between X and Z will be (a) 12:10 (b) 10:12 (C) 13:11 (d) None of these​

Answer 1

Answer:

Answer is attached here.

Answer 2

Explanation:

★ Old Ratio :

X : Y : Z = 4 : 3 : 2

• X's Share = 4/9
• Y's Share = 3/9
• Z's Share = 2/9

Y retires,

X and Z decide to share future profits in the ratio of 5 : 3

★ New Ratio :

• X's New Share = 5/8
• Z's New Share = 3/8

★ Gaining Ratio :

• Gaining Ratio = New Ratio - Old Ratio

• X's Gain = 5/8 - 4/9

⇒ (45-32)/72 = 13/72

• Z's Gain = 3/8 - 2/9

⇒ (27-16)/72 = 11/72

★ Gaining Ratio =

• X : Z = 13/72 : 11/72
• 13 : 11

Therefore, Option (C) 13 : 11

Gaining Ratio between X and Z will be 13 : 11.