There are three persons A, B and C who each invested in two different scheme `S_1` and `S_2`. A in invested Rs. 80,000 for 2 yr in scheme `S_1` and 30,000 for 4 years in scheme `S_2`. B invested Rs 30,000 for 3 year in `S_1` and he did not invest in scheme B. B also obtained a profit of 10,000 by selling his car. C invested Rs 50000 for 5 years in scheme `S_1` and 10000 for 3 year in scheme `S_2`. Total profit obtained from scheme `S_1` is 2 lakh and scheme `S_2` is 90,000.
What is the ratio of total profit obtained by B and profit obtained by C from scheme `S_1`

Options

A. `23: 47 `
B. `54:47`
C. `36:43`
D. `23:50`