A started a business with a capital of Rs.15000, B joined him after 2 months with a capital of Rs.20,000. The ratio in which the profit at the end of the year divided between A and B is:

Correct option is C

Given:
A invested Rs.15,000 for the entire year (12 months).
B invested Rs.20,000 for 10 months (joined after 2 months).
Solution:
Calculate the ratio of their effective investments:
A's effective investment = 15,000 $$\times$$​ 12 = 180,000
B's effective investment = 20,000 $$\times$$10 = 200,000 ​
Ratio of A's investment to B's investment = 180,000 : 200,000 = 9 : 10
Therefore, the profit will be divided between A and B in the ratio of ;
9:10