priya invests 1/3 of her capital at 7% pa ..,1/4 at 8% pa and the remainder at 10% pa . if her annual income is rs. 561, then find the capital
Answers
Answered by
16
Let C be the total capital.
The capital invested at 7%=1/3C
The interest earned from this is:0.07×1/3C=7/300C
The capital invested at 8%=1/4C
The interest =0.08×1/4C=1/50C
The remaining capital =C-(1/3C+1/4C)=5/12C
The interest earned =0.1×5/12=5/120C
The total interest =5/120C+1/50C+7/300C=
(12.5C+6C+7C)/300=25.5C/300
25.5C/300=561
25.5C=168300
C=168300/25.5=Rs6,600
The capital invested at 7%=1/3C
The interest earned from this is:0.07×1/3C=7/300C
The capital invested at 8%=1/4C
The interest =0.08×1/4C=1/50C
The remaining capital =C-(1/3C+1/4C)=5/12C
The interest earned =0.1×5/12=5/120C
The total interest =5/120C+1/50C+7/300C=
(12.5C+6C+7C)/300=25.5C/300
25.5C/300=561
25.5C=168300
C=168300/25.5=Rs6,600
Similar questions