A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
📊 Business Profit Distribution 📊
Calculate the total “investment-months” for each person:
A = Rs. 6500 × 6 months = Rs. 39,000
B = Rs. 8400 × 5 months = Rs. 42,000
C = Rs. 10,000 × 3 months = Rs. 30,000
Total investment-months = Rs. 39,000 + Rs. 42,000 + Rs. 30,000 = Rs. 111,000
A’s working member share = 5% of the profit
= 5% of Rs. 7400
= Rs. 370
Remaining profit = Total profit – A’s working member share
= Rs. 7400 – Rs. 370
= Rs. 7030
Profit distribution ratio = Investment-months ratio
= 39,000 : 42,000 : 30,000
= 13 : 14 : 10
B’s share of the profit = (14/37) × Rs. 7030
= Rs. 2660
🎉 B’s share of the profit is Rs. 2660. 📊
