Lalit and Manoj started a business in partnership investing Rs.10,000 and Rs.18,000, respectively. After eight months, Nitin joined them by investing Rs. 24,000. What will be the total share of Nitin and Manoj in the total profit of Rs. 22,000 earned at the end of 2 years from the starting of the business?

Correct option is D

Given:

Lalit’s investment = Rs. 10,000
Manoj’s investment = Rs. 18,000
Nitin’s investment = Rs. 24,000
Nitin joins after 8 months
Total profit = Rs. 22,000
Duration of the business = 2 years

Concept Used:

Profit-sharing ratio in a partnership is based on the product of the amount of investment and the duration of the investment.

Solution:

Lalit’s share:
Lalit’s investment = Rs. 10,000 for 2 years.
Lalit’s share of the profit = 10,000 × 24 = 240,000
Manoj’s share:
Manoj’s investment = Rs. 18,000 for 2 years.
Manoj’s share of the profit = 18,000 × 24 = 432,000
Nitin’s share:
Nitin’s investment = Rs. 24,000, but he joined after 8 months.
Nitin’s share of the profit = 24,000 × 16 = 384,000
The total share ratio is the sum of the products of each person's investment and time:
Total share ratio = 240,000 :  432,000  :  384,000 

=  5  :    9    :  8    = 22 unit 

22 unit = 22,000 , 1 unit = 1000 

Share of Nitin and Manoj  = ( 9 + 8) = 17 unit , = 17000

Thus, the total share of Nitin and Manoj in the total profit of Rs. 22,000 is Rs. 17,000.