If the difference between the simple interest on a certain sum of mone

1.	If the difference between the simple interest on a certain sum of money at 4 % interest p.a. for 6 years and at 5 % interestp.a. for 4 years is ₹ 28, then find the sum of money.
Answer» Answer: For , N=4years R=4 % We have S.I.= 100 PNR = 100 P×4×4 = 100 16P =0.16P And on interest being COMPOUNDED for 3 YEARS and R=5 %, Amount=P(1+ 100 R ) N =P(1+ 100 5 ) 3 =P×(1.05 3 )=1.157625P So, C.I.=A−P=1.157625P−P=0.157625P Given, S.I.−C.I=Rs228 =>0.16P−0.157625P=Rs228 =>0.002375P=Rs228 =>P=Rs96,000

If the difference between the simple interest on a certain sum of money at 4 % interest p.a. for 6 years and at 5 % interestp.a. for 4 years is ₹ 28, then find the sum of money.

Answer»

Answer:

For ,

N=4years

R=4 %

We have S.I.=

100

PNR

100

P×4×4

100

16P

=0.16P

And on interest being COMPOUNDED for 3 YEARS and R=5 %, Amount=P(1+

100

)

=P(1+

100

)

=P×(1.05

)=1.157625P

So, C.I.=A−P=1.157625P−P=0.157625P

Given, S.I.−C.I=Rs228

=>0.16P−0.157625P=Rs228

=>0.002375P=Rs228

=>P=Rs96,000