Question

X, Y and Z are partners in the ratio 3 : 4 : 3. Y retires and X and Z decide to share equally. What is the new ratio of X and Z?

• A. 1 : 2
• B. 2 : 1
• C. 3 : 1
• D. 1 : 1

Hint:

On retirement, distribute retiring partner’s share among remaining partners in the agreed ratio.

Answer 1

The Correct Option is D

Step 1: Old ratio.
X : Y : Z = 3 : 4 : 3. Total = 10. So X = 3/10, Y = 4/10, Z = 3/10.
Step 2: After retirement.
Y retires → his 4/10 share is to be divided. X and Z share equally = 2/10 each.
Step 3: New shares.
X = 3/10 + 2/10 = 5/10. Z = 3/10 + 2/10 = 5/10.
Step 4: Ratio.
X : Z = 5/10 : 5/10 = 1 : 1.
Final Answer: \[ \boxed{\text{1 : 1}} \]