A, B and C start a partnership. They invested Rs. 45000, Rs. 36000 and Rs. 54000 respectively. They stayed in partnership for 4 years, 3 years and 2 years. If B’s share in profit is Rs. 1800, then what is the total profit?

Correct option is B

Given:
Amount invested by A, B, and C = Rs. 45000, Rs. 36000 and Rs. 54000
Number of years they stayed in partnership = 4 years, 3 years, and 2 years
B's share of profit = Rs 1800
Concept used:
 Profit = Amount invested × Number of years 
Solution:
Profit ratio of A, B and C = 45000 × 4 ∶ 36000 × 3 ∶ 54000 × 2 = 5 ∶ 3 ∶ 3
It is given, B's profit
3 units = Rs. 1800
Then, total profit = 5 + 3 + 3 = 11 units
11 units = $$\frac{1800}{3}$$​ × 11 = Rs. 6600.
∴ The total profit obtained is Rs. 6600.