Question

Hari, Roy and Prasad are partners and their profit sharing ratio is 3 : 5 : 1. Roy retires and his share is taken by Prasad. The new ratio of Hari and Prasad will be:

• A. 2 : 1
• B. 1 : 2
• C. 3 : 5
• D. Equal

Hint:

Always recalculate shares in fractions when partners retire. Add retiring partner’s share to the gaining partner.

Answer 1

The Correct Option is A

Step 1: Old ratio.
Hari : Roy : Prasad = 3 : 5 : 1. Total parts = 9.
Step 2: Shares of each partner.
Hari = 3/9, Roy = 5/9, Prasad = 1/9.
Step 3: Adjustment after retirement.
Roy retires. His share = 5/9 is taken by Prasad. So, new shares: Hari = 3/9 = 1/3
Prasad = 1/9 + 5/9 = 6/9 = 2/3
Step 4: Ratio.
Hari : Prasad = 1 : 2. Wait carefully! Actually above shows 1:2, but let us check again. Hari = 3/9 = 1/3. Prasad = 1/9 + 5/9 = 6/9 = 2/3. Ratio Hari : Prasad = 1/3 : 2/3 = 1 : 2. Correction. The correct ratio is 1 : 2.
Final Answer: \[ \boxed{\text{1 : 2}} \]