In a partnership, A invests 50% of the capital for $$\frac{1}{4}th$$ of the time, B invests 20% of the capital for $$\frac{1}{2}$$ of the time and C invests 30% of the capital for the whole time. If the share of A in the end profit is Rs.12.5 lakhs then the total profit (in lakhs of rupees) is

A

25

B

37.5

C

50

D

52.5