If the total interest of a principal in `6`years be `30%` of the principal , then the total interest will be equal to the principal in
A. `10` years
B. `20` years
C. `22` years
D. `30` years
A. `10` years
B. `20` years
C. `22` years
D. `30` years
Let the principal be `Rsx` and the rate of yearly simple interest be `r%`
Then, the interest in `6` years `=Rs x xx(30)/(100)=Rs(3x)/(10)`
`:.(x xx rxx6)/(100)=(3x)/(10)impliesr=(3x xx100)/(x xx6xx10)=5`
`:.` The rate of interest `=5%`
Also, let the required time `=t` years
`:.(x xx5xxt)/(100)=ximpliest=(100xx x)/(5xx x)=20`
`:.` The required time `=20`years.