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. 0.1
B. 0.09
C. 0.15
D. 0.18

Answer

C

Explanation

Ratio of profit share of L , M and N in scheme `S_(1)`
`160000xx2:60000xx3:10000xx5`
`16:9:25`
Profit share of L from Schem
`S_(1)=(16)/(50)xx400000=128000`
Profit share of M from scheme
`S_(1)=(9)/(50)xx400000=72000`
Profit share of N from scheme
`S_(1)=(25)/(50)xx400000=200000`
Ratio of profit share of L and N in scheme `S_(2)`
`60,000xx4:20,000xx3`
`12:3`
Profit share of L in scheme `S_(2)=(12)/(15)xx180000=144000` ltbgt Profit share of N in scheme `S_(2)=(3)/(15)xx18,0000=36000`
`(160000xxRxx3)/(100)-6000xx((R+5)/(100))=60,000`
`2400R-300R-1500=30000`
`8R-5=1500=30000`
`7R=105`
`R=15%`