Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
📊 Business Profit Distribution 📊
Initial investments:
Arun = Rs. 8000
Kamal = Rs. 4000
Vinay = Rs. 8000
Arun left after 6 months, so his effective investment period is 6 months.
Kamal and Vinay invested for the full 8 months.
Effective investments:
Arun = Rs. 8000 × (6/8) = Rs. 6000
Kamal = Rs. 4000 × (8/8) = Rs. 4000
Vinay = Rs. 8000 × (8/8) = Rs. 8000
Total effective investment = Rs. 6000 + Rs. 4000 + Rs. 8000 = Rs. 18000
Profit share ratio = Effective investment ratio
= 6000 : 4000 : 8000
= 3 : 2 : 4
Total profit = Rs. 4005
Kamal’s share = (2/9) × Rs. 4005
= Rs. 890
🎉 Kamal’s share of the profit is Rs. 890. 📊