There are three persons L. M and N who each invested in two different scheme `S_(1) and S_(2)`. L invested Rs. 1,60,000 for 2 yr in scheme `S_(1)` and 60,000 for 4 years in scheme `S_(2)`. M invested Rs. 60,000 for 3 years in `S_(1)` and he did not invest in scheme `S_(2)`. M also obtained a profit of 20,000 by selling his car. N invested Rs. 100000 for 5 years in scheme `S_(1)` and 20,000 for 3 years in scheme `S_(2)` . total profit obtained from scheme `S_(1)` is 4 lakh and scheme `S_(@)` is 1,80,000.
If L had invested his sum at Simple Interest for 3 yr at the rate of `R%`. p.a instead in scheme `S_(1)` and M has invested his sum at compound Interest at `(R+5%)` p.a. for 1 year and difference in interest obtained is 60,000 then find value of R%.

Options

A. `15%`
B. `7%`
C. `5%`
D. `8%`