A begins a business with ₹85,000. Later, B joins with ₹42,500. If year-end profits are shared in the ratio 3 : 1 (A : B), for how many months did B's capital remain invested?
Aptitude
Partnership
Difficulty: Medium
Choose an option
-
A6 months
-
B8 months
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C9 months
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D10 months
Answer
Correct Answer: 8 months
Explanation
Problem restatementFind B's joining duration given capitals and the final profit ratio over a 12-month year.
Given data
- A: ₹85,000 for 12 months.
- B: ₹42,500 for t months.
- Profit ratio A : B = 3 : 1.
Concept/ApproachProfit share ∝ capital × time.
Step-by-step calculation 85,000 × 12 : 42,500 × t = 3 : 1 10,20,000 : 42,500t = 3 : 1 10,20,000 ÷ (42,500t) = 3 ⇒ 10,20,000 = 1,27,500t t = 10,20,000 ÷ 1,27,500 = 8 months
Final Answer8 months