Question

the difference between compound interest and simple interest at 5% per annum a in 2 years is RS 30. find the sum.​

Answer 1

Step-by-step explanation:

For first year, S.I. = C.I.

Now, Rs. 16 is the S.I. on S.I. for 1 year.

∴ Rs. 10 is S.I. on Rs. 100

∴ Rs. 16 is S.I. on (

10

100

×16)=Rs.160

∴ S.I. on principal for 1 year at 10% is Rs. 160.

∴ principal =(

10×1

100×160

)=Rs.1600.

Amount for 2 years compounded half yearly

=Rs.[1600×(1+

100

5

)

4

]=Rs.1944.81

∴C.I.Rs.(1944.81−1600)=Rs.344.81

S.I.=Rs.(

100

1600×10×2

)=Rs.320

∴(C.I.)−(S.I.)=Rs.(344.81−320)=Rs.24.81

Answer 2

Answer:

5%of 5=5×5/100==1/4

diff Rs 1/4 then sum is Rs 100

so diff Rs 30 then sum is Rs 100×4×30=Rs 1200. Ans