1.

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 interestobtained is 60,000 then find value of R%.

Answer»

0.1
0.09
0.15
0.18

Solution :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%`


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