Question

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?
1. Rs. 6000
2. Rs. 6600
3. Rs. 7200
4. Rs. 7000

Answer 1

Correct Answer - Option 2 : Rs. 6600

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:

The ratio of profit obtained = ratio of the product of amount invested × number of years for everyone

Calculation:

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 = 1800/3 × 11 = Rs. 6600.

∴ The total profit obtained is Rs. 6600.