Kamal started a business with ₹21,000 and Vinod joined afterwards with ₹36,000. After how many months did Vinod join if the profit at the end of the year is divided equally?
A
3 months
B
4 months
C
5 months
D
8 months
Correct Option:
C
Explanation
• Let Vinod join after x months. His money stays for (12 - x) months.
• Ratio of profits = Kamal's investment × 12 : Vinod's investment × (12 - x) = 1 : 1.
• 21,000 × 12 = 36,000 × (12 - x)
• 252,000 = 36,000(12 - x) ⇒ 7 = 12 - x ⇒ x = 5 months.
