There are three persons L. M and N who each invested in two different scheme `S_(1) and S_(2)`. L invested Rs. 16,0000 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. invested Rs. 100000 for 5 years in scheme `S_(1)` and 20000 for 3 years in scheme `S_(2)` . total profit obtained from scheme `S_(1)` is 4 lakh and scheme `S_(@)` is 18,0000.
What is the ratio of total profit obtanined by N from scheme `S_(1)`

Options

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

Answer

D

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`
Required ratio `=(72000+20000):200000`
`46:100`
`=23:50`